Document:

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                                                                    EXHIBIT 10.1

                             SUBSCRIPTION AGREEMENT

                                  BY AND AMONG

                              BARGO ENERGY COMPANY

                                       AND

                      ENERGY CAPITAL INVESTMENT COMPANY PLC

                       ENCAP ENERGY CAPITAL FUND III, L.P.

                      ENCAP ENERGY CAPITAL FUND III-B, L.P.

                           BOCP ENERGY PARTNERS, L.P.

                               EOS PARTNERS, L.P.

                             EOS PARTNERS SBIC, L.P.

                           EOS PARTNERS SBIC II, L.P.

                               SGC PARTNERS II LLC

                   BANCAMERICA CAPITAL INVESTORS SBIC I, L.P.

                                       AND

                        KAYNE ANDERSON ENERGY FUND, L.P.

                              DATED MARCH 31, 2000

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                                TABLE OF CONTENTS

<TABLE>
<S>      <C>               <C>                                                     <C>
ARTICLE I.  CERTAIN DEFINITIONS                                                      1
         Section 1.1       Defined Terms                                             1
         Section 1.2       Headings                                                  5
         Section 1.3.      Statutory References                                      5
         Section 1.4.      Calculation of Time Period                                5
         Section 1.5.      Extended Definitions                                      5
         Section 1.6.      Interpretation                                            5
         Section 1.7.      Schedules and Exhibits                                    6

ARTICLE II.  SUBSCRIPTION                                                            6
         Section 2.1.      Subscription; Acceptance                                  6
         Section 2.2.      Payment of Purchase Price                                 7
         Section 2.3.      Delivery of Certificates Representing Units Purchased     7
         Section 2.4.      Voluntary Increase in Subscription Amount by an
                           Equity Investor                                           7
         Section 2.5.      Election to Receive Warrants                              7
         Section 2.6       Election to Purchase Substituted Tranche A Term
                           Loan Notes; Subsequent Conversion                         8

ARTICLE III.  REPRESENTATIONS AND WARRANTIES                                         8
         Section 3.1.      Representations and Warranties of Equity Investors        8
         Section 3.2.      Representations and Warranties of Bargo                  11

ARTICLE IV.  COVENANTS AND AGREEMENTS                                               12
         Section 4.1.      Indemnity Agreement.                                     12
         Section 4.2.      Shareholders' Agreement                                  13
         Section 4.3.      Stock Purchase Agreement                                 13
         Section 4.4       Registration Rights Agreement                            13
         Section 4.5.      Amendment to Articles of Incorporation.                  13

ARTICLE V.  MISCELLANEOUS                                                           13
         Section 5.1.      Choice of Law                                            13
         Section 5.2.      Entire Agreement                                         14
         Section 5.3.      Binding Effect                                           14
         Section 5.4.      Assignment                                               14
         Section 5.5.      Notices                                                  14
         Section 5.6.      No Merger                                                16
         Section 5.7.      Expenses                                                 16
         Section 5.8.      Third Party Beneficiaries                                16
         Section 5.9.      Transmission by Facsimile                                17
         Section 5.10.     Severability                                             17
         Section 5.11.     Waiver                                                   17
         Section 5.12.     Counterparts                                             17
         Section 5.13.     Remedies                                                 17
         Section 5.14.     Construction                                             17
</TABLE>

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                             SUBSCRIPTION AGREEMENT

         This Subscription Agreement (this "Agreement") is entered into this
31st day of March, 2000, by and among Energy Capital Investment Company PLC, an
English investment company ("Energy PLC"), EnCap Energy Capital Fund III-B,
L.P., a Texas limited partnership ("EnCap III-B"), BOCP Energy Partners, L.P., a
Texas limited partnership ("BOCP"), EnCap Energy Capital Fund III, L.P., a Texas
limited partnership ("EnCap III"), Kayne Anderson Energy Fund, L.P., a Delaware
limited partnership ("Kayne"), BancAmerica Capital Investors SBIC I,
L.P.("BACI"), Eos Partners, L.P., a Delaware limited partnership ("Eos
Partners"), Eos Partners SBIC, L.P., a Delaware limited partnership ("Eos
SBIC"), Eos Partners SBIC II, L.P., a Delaware limited partnership ("Eos SBIC
II" and together with Eos Partners and Eos SBIC, collectively referred to as
"EOS"), and SGC Partners II LLC, a Delaware limited liability company ("SGCP")
(each individually, an "Equity Investor" and collectively, the "Equity
Investors") and Bargo Energy Company, a Texas corporation ("Bargo"), and
evidences the following:

         NOW THEREFORE, the parties to this Agreement, intending to be legally
bound, for good and valuable consideration, the receipt and sufficiency of which
is acknowledged, hereby agree as follows:

                        ARTICLE I. CERTAIN DEFINITIONS

     SECTION 1.1 DEFINED TERMS. The following capitalized terms used in this
Agreement have the meanings set forth below:

     ACQUISITION: means the purchase, pursuant to the Acquisition Agreements, by
Bargo of oil and gas properties located in the Permian Basin, East Texas and
Mid-Continent regions.

     ACQUISITION AGREEMENTS: means the following three agreements (i) Purchase
and Sale Agreement, dated February 22, 2000, between Bargo Petroleum Corporation
and Texaco Exploration and Production, Inc.; (ii) Purchase and Sale Agreement,
dated February 22, 2000, between Bargo Petroleum Corporation and McFarland
Energy, Inc.; and (iii) Purchase and Sale Agreement, dated February 22, 2000,
between Bargo Petroleum Corporation and Four Star Oil & Gas Company.

     ADMINISTRATIVE AGENT: has the meaning set forth in the Assignment.

     AGGREGATE PURCHASE PRICE: means an amount equal to the principal, interest
and premium, if any, outstanding on the Tranche A Term Loans and the Tranche B
Term Loans on the Notice Date; provided that the Aggregate Purchase Price shall
not exceed $45,000,000.

     AMENDMENT TO STOCK PURCHASE AGREEMENT: has the meaning ascribed thereto in
Section 4.3 hereof.

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     ANCILLARY AGREEMENTS: means, collectively, the First Amendment to Second
Amended and Restated Shareholders' Agreement, the Certificate of Designation,
the Third Amendment to Registration Rights Agreement, the Amendment to Stock
Purchase Agreement, the Assignment and the Escrow Agreement.

     APPLICABLE LAW: means any statute, law, rule or regulation or any judgment,
order, writ, injunction, or decree of any Governmental Entity to which a
specified person or property is subject.

     ASSIGNMENT: means the Assignment, Acknowledgment, Agreement and the Waiver
in the form of Exhibit I.

     BT: Bankers Trust Company, a New York banking corporation.

     BUSINESS DAY: means each Monday through Friday of each calendar week,
except that a legal holiday recognized by the United States federal government
or the State of Texas shall not be a Business Day.

     CERTIFICATE OF DESIGNATION: means the Certificate of Designation attached
as Exhibit B.

     CLOSING DATE: means the Business Day six days following the Notice Date.

     CREDIT AGREEMENT: means the Credit Agreement dated as of March 31, 2000,
among the Company, Chase Bank of Texas National Association, as Administrative
Agent, BT, as Syndication Agent, and the other agents and lenders signatory
thereto.

     DESIGNATED COMMON STOCK NUMBER: means the number equal to [A-B]/C, where
"A" equals B divided by D, where "B" equals the number of shares of Bargo common
stock, par value $.01 per share, issued and outstanding (computed on a fully
diluted basis) on the date of closing the Acquisition, where "C" is the
Aggregate Purchase Price divided by 1,000 and where "D" is 1 minus the Specified
Equity Percentage. If the Company makes a dividend or other distribution on its
Common Stock payable in Common Stock, or if the outstanding Common Stock is
subdivided into a larger number or combined into a lesser number, the Board of
Directors shall proportionately increase or decrease the Designated Common Stock
Number, and shall send notice of such increase to the Equity Investors and the
Administrative Agent and Escrow Agent as defined in the Assignment and Escrow
agreement, respectively, and to BT, in the manner provided in the Credit
Agreement.

     DESIGNATED PERCENTAGE: means the percentage for each Equity Investor set
forth on Exhibit G hereto.

     ENCUMBRANCE: means liens, charges, pledges, options, mortgages, deeds of
trust, security interests, claims, restrictions (whether on voting, sale,
transfer, disposition or otherwise), easements, and other encumbrances of every
type and description, whether imposed by law, agreement, understanding, or
otherwise.

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     ESCROW AGENT: has the meaning set forth in the Escrow Agreement.

     ESCROW AGREEMENT: means the Escrow Agreement in the form of Exhibit J.

     EXPIRATION DATE: means the earlier of the following dates: (i) the date
that the Tranche A Term Loans are repaid in full other than from the purchase
price of Units paid pursuant to this Agreement and (ii) December 22, 2000.

     GOVERNMENTAL ENTITY: means any court or tribunal in any jurisdiction
(domestic or foreign) or any federal, state, municipal, or other governmental
body, agency, authority, department, commission, board, bureau, or
instrumentality (domestic or foreign), as well as the New York Stock Exchange,
the Nasdaq National Market, the Nasdaq SmallCap Market, the American Stock
Exchange, and any other exchange upon which Bargo common stock is listed from
time to time.

     INCREASED DESIGNATED PERCENTAGE: means, for each Equity Investor, two times
the Designated Percentage for the Equity Investor (appropriately rounded so that
the aggregate Increased Designated Percentages total 100%), or such other
percentage in excess of the Equity Investor's Designated Percentage as the
Equity Investors may agree as contemplated by Section 2.4.

     INDEMNITY AGREEMENT: means the agreement in the form of Exhibit K.

     MATERIAL ADVERSE EFFECT: means any change, development, or effect
(individually or in the aggregate) which is, or is reasonably likely to be,
materially adverse (i) to the business, assets, results of operations or
conditions (financial or otherwise) of a party, or (ii) to the ability of a
party to perform on a timely basis any material obligation under this Agreement
or any agreement, instrument, or document entered into or delivered in
connection herewith.

     NOTICE DATE: means the date on which the Purchase Notice is given to the
Equity Investors as provided in Section 2.1.

     PARTIES: means, collectively, Bargo and the Equity Investors.

     PERMITS: means licenses, permits, franchises, consents, approvals,
variances, exemptions, and other authorizations of or from Governmental
Entities.

     PERSON: includes an individual, a partnership, a limited partnership, a
joint venture, a syndicate, a sole proprietorship, a company or corporation with
or without share capital, an unincorporated association, a trust, an executor,
an administrator or other legal personal representative, a regulatory body or
agency, a government or governmental agency, an authority or entity however
designated or constituted, and every other legal or business entity whatsoever.

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     PURCHASE NOTICE: has the meaning ascribed thereto in Section 2.1.

     SHARE OF UNITS: means, as to each Equity Investor, the Equity Investor's
Designated Percentage multiplied by the Total Number of Units, rounded up to the
next whole Unit.

     SPECIFIED EQUITY PERCENTAGE: means a percentage equal to [X/Y]xZ, where "X"
is the Aggregate Purchase Price, where "Y" is $45,000,000, and where "Z" is 30%.

     STANDBY FEE: has the meaning ascribed thereto in Section 4.4 hereof.

     SUBSTITUTE TRANCHE A TERM LOAN NOTES: has the meaning given it in the
Credit Agreement.

     FIRST AMENDMENT TO SECOND AMENDED AND RESTATED SHAREHOLDERS' AGREEMENT: has
the meaning ascribed thereto in Section 4.2 hereof.

     THIRD AMENDMENT TO REGISTRATION RIGHTS AGREEMENT: means the amendment
attached as Exhibit H.

     TOTAL NUMBER OF UNITS: means the Aggregate Purchase Price divided by $1,000
rounded up to the next whole number.

     TRANCHE A EQUITY SUBSCRIPTION DATE: has the meaning given to it in the
Credit Agreement.

     TRANCHE A TERM LOANS: has the meaning given to it in the Credit Agreement.

     UNIT: means one share of Bargo Series C Preferred Stock, par value $.01 per
share, and a number of shares of Bargo's common stock equal to the Designated
Common Stock Number.

     WARRANTS: means the Warrant to purchase Common Stock in the form of Exhibit
E.

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     SECTION 1.2 HEADINGS.

 The division of this Agreement into Articles and Sections and the insertion
of headings are for convenient reference only, and shall not effect either the
construction or the interpretation of this Agreement.

     SECTION 1.3 STATUTORY REFERENCES.

     Unless expressly stated to the contrary, any references in this Agreement
to any law, by-law, rule, regulation, order or act of any Governmental Entity
shall be construed as a reference thereto as enacted either as of the date
hereof, or as such law, by-law, rule, regulation, order or act may be amended,
re-enacted, or superseded from time to time after the date hereof.

     SECTION 1.4 CALCULATION OF TIME PERIOD.

     When calculating the period of time within which or following which any act
is to be done or any step is to be taken pursuant to this Agreement, the date
which is the reference date in calculating such period shall be excluded. If the
last day of such period is not a Business Day, the period in question shall end
on the next Business Day. If under this Agreement any payment or calculation is
to be made or any other action is to be taken on a day which is not a Business
Day, that payment or calculation is to be made, and that other action is to be
taken, as applicable, on or as of the next day that is a Business Day.

     SECTION 1.5 EXTENDED DEFINITIONS.

     Unless the context otherwise requires, words importing the singular include
the plural and vice versa and words importing gender include all genders. The
term "including" as used herein to explain or elaborate upon the subject matter
preceding such term, shall mean "the inclusion of without limitation" and
"including, without limiting the foregoing." The terms "hereof," "hereunder" and
similar expressions refer to this Agreement and not to any particular part,
Article, Section or other portion hereof and include any agreement supplemental
hereto. Unless something in the subject matter or context is inconsistent
therewith, references herein to parts, Articles and Sections are to parts,
Articles and Sections of this Agreement.

     SECTION 1.6 INTERPRETATION.

     In the event of any inconsistencies, conflicts or contradictions between
the provisions of this Agreement and any documents created pursuant to, or as
required under, this Agreement, the provisions of this Agreement shall govern
and prevail.

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     SECTION 1.7 SCHEDULES AND EXHIBITS.

         The following Exhibits and Schedules, are attached to this Agreement
and are incorporated into this Agreement by reference:

         Exhibit A   -     Purchase Notice
         Exhibit B   -     Certificate of Designation
         Exhibit C   -     Form of First Amendment to Second Amended and
                           Restated Shareholders' Agreement
         Exhibit D   -     Election to receive Warrants
         Exhibit E   -     Form of Warrant
         Exhibit F   -     Form of Amendment to Stock Purchase Agreement
         Exhibit G   -     Designated Percentage
         Exhibit H   -     Form of Third Amendment to Registration Rights
                           Agreement
         Exhibit I   -     Form of Assignment
         Exhibit J   -     Form of Escrow Agreement
         Exhibit K   -     Form of Indemnity Agreement

                            ARTICLE II. SUBSCRIPTION

     SECTION 2.1 SUBSCRIPTION; ACCEPTANCE. Subject to the terms and conditions
set forth herein, each Equity Investor, severally and not jointly, irrevocably
subscribes for and agrees to purchase on the Closing Date, such Equity
Investor's Share of Units, at a purchase price of $1,000 per Unit. Bargo hereby
accepts such subscription subject to either (i) the Tranche A Equity
Subscription Date occurring prior to the Expiration Date or (ii) if there are
any amounts outstanding under the Tranche A Term Loan on December 1, 2000 and,
on or prior to the Expiration Date the Administrative Agent directs the Escrow
Agent to deliver a Purchase Notice to the Equity Investors. On the Tranche A
Equity Subscription Date or, after December 1, 2000, as directed by the
Administrative Agent, Bargo shall deliver, or cause to be delivered, to each
Equity Investor a Purchase Notice in the form of Exhibit A duly completed and
executed by Bargo. The Purchase Notice shall set forth the Aggregate Purchase
Price, the Total Number of Units, the Equity Investor's Share of Units, the
number of shares of Common Stock being purchased by the Equity Investor, the
Closing Date and wire transfer instructions for payment of the purchase price of
the Units on the Closing Date. If, at any time on or prior to the Expiration
Date, Bargo delivers or causes to be delivered to an Equity Investor a Purchase
Notice such Equity Investor shall, on the Closing Date, fund the purchase price
of its Units by wire transfer of immediately available funds to the account set
forth in the Purchase Notice. Notwithstanding anything else set forth herein, no
Equity Investor shall be obligated to purchase Units unless a Purchase Notice is
given to the Equity Investor on or prior to the Expiration Date. If Bargo
delivers or causes to be delivered a Purchase Notice to one Equity Investor,
Bargo shall deliver or cause to be delivered a Purchase Notice to all of the
Equity Investors.

     SECTION 2.2 PAYMENT OF PURCHASE PRICE. Upon receipt of the Purchase Notice,
each Equity Investor shall be severally obligated to pay the purchase price of
such Equity Investor's

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Share of Units on the Closing Date. The purchase price for such Equity
Investor's Share of Units shall be paid on the Closing Date in immediately
available funds by wire transfer to the account specified in the Purchase
Notice.

     SECTION 2.3 DELIVERY OF CERTIFICATES REPRESENTING UNITS PURCHASED. Upon
each Equity Investor's payment of his portion of the Purchase Price, Bargo shall
deliver or cause to be delivered to each Equity Investor certificates
representing the Common Stock and Preferred Stock comprising the Units purchased
registered in the name of the Equity Investor. Fractional shares of Common Stock
shall not be issued. Each Equity Investor who would otherwise be entitled to
fractional shares will receive a certificate for shares rounded up to the next
whole share.

     SECTION 2.4. VOLUNTARY INCREASE IN SUBSCRIPTION AMOUNT BY AN EQUITY
INVESTOR. At any time prior to three Business Days before the Closing Date, an
Equity Investor may increase the number of Units it agrees to purchase by
notifying the Company in writing of such increase. Each Equity Investor shall
have the right (but not the obligation) to purchase up to such Equity Investor's
Increased Designated Percentage of the Total Number of Units. Each Equity
Investor may request that the Company increase its Designated Percentage,
specifying the maximum number of Units the Equity Investor proposes to purchase,
and if one or more Equity Investors elect not to increase the number of Units it
purchases, the Company will allocate Units among the Equity Investors requesting
to purchase additional Units pro rata based on the maximum number of Units they
requested to purchase. Each Equity Investor shall pay the purchase price of
additional Units purchased at the Closing in the same manner as such Equity
Investor pays the purchase price for the Units it is required to purchase. The
proceeds of purchase of additional Units by an Equity Investor shall be used to
repay amounts outstanding under the Tranche B Term Loan.

     SECTION 2.5. ELECTION TO RECEIVE WARRANTS. Each Equity Investor, in lieu of
receiving shares of Common Stock upon purchase of Units, may elect to receive
Warrants to purchase all or a portion of such shares of Common Stock. In order
to receive Warrants instead of shares of Common Stock, an Equity Investor must
deliver to the Company a completed and signed Election to Receive Warrants in
the form of Exhibit D at least three Business Days prior to the Closing Date.
Upon receipt of payment for the Units, the Company shall issue to the Equity
Investor, in lieu of the number of shares of Common Stock specified in the
Election to Receive Warrants, Warrants to purchase a like number of shares of
Common Stock.

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     SECTION 2.6 ELECTION TO PURCHASE SUBSTITUTED TRANCHE A TERM LOAN NOTES;
SUBSEQUENT CONVERSION.

     (a) If a Purchase Notice is delivered to an Equity Investor prior to the
Expiration Date or such notice is delivered on the Expiration Date and a
Conversion Nullification Event has occurred on such date, each such Equity
Investor may elect to purchase Substituted Tranche A Term Loan Notes for all or
any portion of the purchase price the Equity Investor is otherwise obligated to
pay for its Units. Such right and option may be exercised by the Equity Investor
notifying the Company at least three Business Days prior to the Closing Date.
Such notice shall specify the principal amount of Substituted Tranche A Term
Loan Notes to be purchased. If the amount of Substituted Tranche A Term Loan
Notes purchased is less than the total purchase price of the Units which such
Equity Investor is obligated or entitled to purchase, the Company shall issue
and sell and such Equity Investor shall purchase, a number of Units for $1,000
per Unit equal to the difference.

     (b) If a Purchase Notice is delivered to an Equity Investor prior to the
Expiration Date or such notice is delivered on the Expiration Date and a
Conversion Nullification event occurred as of such date, each such Equity
Investor shall have the right and option (but not the obligation) to purchase on
January 2, 2001, additional Substituted Tranche A Term Loan Notes in an original
principal amount equal to the purchase price of the Increased Designated
Percentage of the Total Number of Units that such Equity Investor would have
been entitled to purchase had the Purchase Notice been delivered on the
Expiration Date, as defined in Section 2.4. Such election shall be made by the
Equity Investor delivering written notice of such election to the Company on or
prior to December 27, 2000. As provided in the Credit Agreement, the proceeds of
such additional purchase of Substituted Tranche A Term Loan Notes will be used
to repay the Tranche B Term Loan and such Substituted Tranche A Term Loan Notes
may convert into Units in the manner provided for in the Credit Agreement.

                   ARTICLE III. REPRESENTATIONS AND WARRANTIES

     SECTION 3.1 REPRESENTATIONS AND WARRANTIES OF EQUITY INVESTORS. Each Equity
Investor, only with respect to itself, represents and warrants to Bargo that:

     (a) Such corporate Equity Investor is duly organized, validly existing, and
in good standing under the laws of the jurisdiction of its incorporation and has
all requisite corporate power and corporate authority to own, lease, and operate
its properties and to carry on its business as now being conducted. Such
partnership Equity Investor is duly formed and is in good standing (as
applicable) under the laws of the jurisdiction of its formation. No actions or
proceedings to dissolve such Equity Investor are pending or, to the best
knowledge of such Equity Investor, threatened.

     (b) Such Equity Investor has full power and authority to execute, deliver,
and perform this Agreement and the Ancillary Agreements to which it is a party
and to consummate the transactions contemplated hereby and thereby. The
execution, delivery and performance by such

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Equity Investor of this Agreement and the Ancillary Agreements to which such
Equity Investor is a party, and the consummation by it of the transactions
contemplated hereby and thereby, have been duly authorized by all necessary
corporate or partnership action, as applicable, of such Equity Investor. This
Agreement has been duly executed and delivered by such Equity Investor and
constitutes, and each Ancillary Agreement executed or to be executed by such
Equity Investor has been, or when executed will be, duly executed and delivered
by such Equity Investor and constitutes, or when executed and delivered will
constitute, the valid and legally binding obligation of such Equity Investor,
enforceable against such Equity Investor in accordance with its respective
terms, except that such enforceability may be limited by (i) applicable
bankruptcy, insolvency, reorganization, moratorium, and similar laws affecting
creditors' rights generally and (ii) equitable principles which may limit the
availability of certain equitable remedies (such as specific performance) in
certain instances.

     (c) The execution, delivery, and performance by such Equity Investor of
this Agreement and the Ancillary Agreements to which such Equity Investor is
party and the consummation by it of the transactions contemplated hereby and
thereby do not and will not (i) conflict with or result in a violation of any
provision of the charter or bylaws (or other governing documents), as
applicable, of such Equity Investor, (ii) conflict with or result in a violation
of any provision of, or constitute (with or without the giving of notice or the
passage of time or both) a default under, or give rise (with or without the
giving of notice or the passage of time or both) to any right of termination,
cancellation, or acceleration under, or require any consent, approval,
authorization, or waiver of any party to, any bond, debenture, note, mortgage,
indenture, lease, contract, agreement, or other instrument or obligation to
which such Equity Investor is a party or by which such Equity Investor or any of
its properties may be bound or any Permit held by an Equity Investor, (iii)
result in the creation or imposition of any Encumbrance upon the properties of
such Equity Investor, or (iv) violate any Applicable Law binding upon the Equity
Investor, except, in the case of clauses (ii), (iii), and (iv) above, for any
such conflicts, violations, defaults, terminations, cancellations,
accelerations, or Encumbrances which would not, individually or in the
aggregate, have a Material Adverse Effect on such Equity Investor or on the
ability of such Equity Investor to consummate the transactions contemplated
hereby.

     (d) No consent, approval, order, or authorization of, or declaration,
filing, or registration with, any Governmental Entity is required to be obtained
or made by such Equity Investor in connection with the execution, delivery, or
performance by such Equity Investor of this Agreement and the Ancillary
Agreements to which such Equity Investor is party or the consummation by it of
the transactions contemplated hereby or thereby.

     (e) Such Equity Investor has, and at all times prior to the termination of
the subscription will have, access to such funds as are necessary for the
consummation by it of the transactions contemplated hereby.

     (f) Such Equity Investor represents that it has had an opportunity to ask
questions of and receive answers from Bargo regarding Bargo and its business,
assets, results of operation, and financial condition and the terms and
conditions of the issuance of the Units. Such Equity Investor further represents
that it has access to all filings made by Bargo with the Securities and

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Exchange Commission since January 1, 1999. The foregoing, however, shall not
limit or modify the representations and warranties of Bargo in Section 3.2 and
shall not limit the disclosure requirements of applicable federal and state
securities laws.

     (h) Such Equity Investor acknowledges that it can bear the economic risk of
its investment in the Units and has such knowledge and experience in financial
and business matters that it is capable of evaluating the merits and risks of an
investment in the Units.

     (i) Such Equity Investor understands that the Units will not have been
registered pursuant to the Securities Act of 1933, as amended ("Securities
Act"), or any applicable state securities laws, that the Units will be
characterized as "restricted securities" under federal securities laws, and that
under such laws and applicable regulations the Units cannot be sold or otherwise
disposed of without registration under the Securities Act or an exemption
therefrom. In this connection, each Equity Investor represents that it is
familiar with Rule 144 promulgated under the Securities Act, as currently in
effect, and understands the resale limitations imposed thereby and by the
Securities Act. Appropriate stop transfer instructions may be issued to the
transfer agent for securities of Bargo (or a notation may be made in the
appropriate records of Bargo) in connection with the Units.

     (j) It is agreed and understood by such Equity Investor that the
certificates representing the securities issued under this Agreement shall each
conspicuously set forth on the face or back thereof, in addition to any legends
required by Applicable Law or other agreement, a legend in substantially the
following form:

          THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN
          REGISTERED PURSUANT TO THE SECURITIES ACT OF 1933, AS AMENDED, OR ANY
          STATE SECURITIES LAWS. SUCH SECURITIES MAY NOT BE SOLD OR OTHERWISE
          TRANSFERRED UNLESS THEY ARE FIRST REGISTERED PURSUANT TO THAT ACT AND
          APPLICABLE STATE SECURITIES LAWS OR UNLESS THE CORPORATION RECEIVES A
          WRITTEN OPINION OF COUNSEL, WHICH OPINION AND COUNSEL ARE SATISFACTORY
          TO THE CORPORATION, TO THE EFFECT THAT SUCH REGISTRATION IS NOT
          REQUIRED.

     (k) Such Equity Investor is an accredited investor as defined in Regulation
D under the Securities Act. Such Equity Investor is acquiring Units for its own
account for investment and not with a view to, or for sale or other disposition
in connection with, any distribution of all or any part thereof, except in
compliance with applicable federal and state securities laws.

     (l) There are no proceedings pending or, to the best knowledge of such
Equity Investor, threatened seeking to restrain, prohibit, or obtain damages or
other relief in connection with this Agreement or the transactions contemplated
hereby.

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     (m) Such Equity Investor and its affiliates have not retained any financial
advisor, broker, agent, or finder or paid or agreed to pay any financial
advisor, broker, agent, or finder on account of this Agreement or any
transaction contemplated hereby. Such Equity Investor shall indemnify and hold
harmless Bargo from and against any and all losses, claims, damages, and
liabilities (including legal and other expenses reasonably incurred in
connection with investigating or defending any claims or actions) with respect
to any finder's fee, brokerage commission, or similar payment in connection with
any transaction contemplated hereby asserted by any person on the basis of any
act or statement made or alleged to have been made by such Equity Investor or
any of its affiliates.

     (n) No representation or warranty made by such Equity Investor in this
Agreement, and no statement of such Equity Investor contained in any document,
certificate, or other writing furnished or to be furnished by Equity Investor
pursuant hereto or in connection herewith, contains or will contain, at the time
of delivery, any untrue statement of a material fact or omits, or will omit, at
the time of delivery, to state any material fact necessary in order to make the
statements contained therein, in the light of the circumstances under which they
are made, not misleading.

     SECTION 3.2. REPRESENTATIONS AND WARRANTIES OF BARGO. Bargo hereby
represents and warrants to each Equity Investor as follows:

     (a) Bargo is a corporation duly organized, validly existing, and in good
standing under the laws of Texas and has all requisite corporate power and
corporate authority to own, lease, and operate its properties and to carry on
its business as now being conducted. No actions or proceedings to dissolve Bargo
are pending or, to the best knowledge of Bargo, threatened.

     (b) Bargo is duly qualified or licensed to do business as a foreign
corporation and is in good standing in each of the jurisdictions in which it
owns, leases, or operates property or in which such qualification or licensing
is required for the conduct of its business.

     (c) Bargo has full corporate power and corporate authority to execute,
deliver, and perform this Agreement and the Ancillary Agreements to which it is
a party and to consummate the transactions contemplated hereby and thereby. The
execution, delivery, and performance by Bargo of this Agreement and the
Ancillary Agreements to which it is a party, and the consummation by it of the
transactions contemplated hereby and thereby, have been duly authorized by all
necessary corporate action of Bargo. This Agreement has been duly executed and
delivered by Bargo and constitutes, and each Ancillary Agreements executed or to
be executed by Bargo has been, or when executed will be, duly executed and
delivered by Bargo and constitute or when executed and delivered will
constitute, valid and legally binding obligations of Bargo, enforceable against
Bargo in accordance with their respective terms, except that such enforceability
may be limited by (i) applicable bankruptcy, insolvency, reorganization,
moratorium, and similar laws affecting creditors' rights generally and (ii)
equitable principles which may limit the availability of certain equitable
remedies (such as specific performance) in certain instances.

                                       11
<PAGE>   14

     (d) The execution, delivery, and performance by Bargo of this Agreement and
the Ancillary Agreements to which it is a party and the consummation by it of
the transactions contemplated hereby and thereby do not and will not (i)
conflict with or result in a violation of any provision of the articles of
incorporation or bylaws or other governing instruments of Bargo, (ii) conflict
with or result in a violation of any provision of, or constitute (with or
without the giving of notice or the passage of time or both) a default under, or
give rise (with or without the giving of notice or the passage of time or both)
to any right of termination, cancellation, or acceleration under, or require any
consent, approval, authorization or waiver of, or notice to, any party to, any
bond, debenture, note, mortgage, indenture, lease, contract, agreement, or other
instrument or obligation to which Bargo or any subsidiary is a party or by which
Bargo or any subsidiary or any of their respective properties may be bound or
any Permit held by Bargo or any subsidiary, (iii) result in the creation or
imposition of any Encumbrance upon the properties of Bargo or any subsidiary, or
(iv) violate any Applicable Law binding upon Bargo or any subsidiary, except, in
the case of clauses (ii), (iii) and (iv) above, for any such conflicts,
violations, defaults, terminations, cancellations, accelerations, or
Encumbrances which would not, individually or in the aggregate, have a Material
Adverse Effect on Bargo, and except, in the case of clause (i) above, for the
filing of Articles of Amendment to Bargo's Articles of Incorporation as
contemplated by Section 4.5 and in the case of clause (ii) above, for such
consents, approvals, authorizations, and waivers that have been obtained and are
unconditional and in full force and effect and such notices that have been duly
given.

     (e) The proceeds from the sale of the Units, Warrants and Substituted
Tranche A Term Loan Notes to the Equity Investors contemplated hereby shall be
used to repay the Tranche A Term Loans and, to the extent provided in Section
2.4, the Tranche B Term Loan.

                      ARTICLE IV. COVENANTS AND AGREEMENTS

     SECTION 4.1. INDEMNITY AGREEMENT. Contemporaneously with the execution of
this
Agreement, the Company, BT and the Equity Investors have executed the Indemnity
Agreement in the form of Exhibit K.

     SECTION 4.2 SHAREHOLDERS' AGREEMENT. Contemporaneously with the execution
of this Agreement, Bargo, BT and the Equity Investors have entered into the
First Amendment to Second Amended and Restated Shareholders' Agreement in the
form set forth as Exhibit C.

     SECTION 4.3 STOCK PURCHASE AGREEMENT. Contemporaneously with the execution
of this Agreement, the Equity Investors and Bargo have entered into the
Amendment to Stock Purchase Agreement, such amendment in the form attached
hereto as Exhibit F.

     SECTION 4.4 REGISTRATION RIGHTS AGREEMENT. Contemporaneously with the
execution of this Agreement, Bargo, BT and the Equity Investors have entered
into the Third Amendment to Registration Rights Agreement.

                                       12
<PAGE>   15

     SECTION 4.5 AMENDMENT TO ARTICLES OF INCORPORATION. The Company's board of
directors, holders of all of its outstanding Series B Preferred Stock and
holders of a majority of its Common Stock have approved an amendment to the
Company's Articles of Incorporation increasing the number of authorized shares
of Common Stock and Preferred Stock. The Company has filed an Information
Statement with the Securities and Exchange Commission pursuant to Section 14(c)
of the Securities Exchange Act of 1934, as amended, with respect to such
amendment and has mailed the Information Statement to its stockholders. The
Company agrees to file the Articles of Amendment to its Articles of
Incorporation and Certificate of Designation in the form of Exhibit B on or
before April 15, 2000.

     SECTION 4.6 CONDITIONS. An Equity Investor's obligations hereunder shall be
subject to only the following: (i) compliance with Section 4.5; (ii) all fees
required to be paid under the commitment letter of the Equity Investors dated
February 22, 2000 shall have been paid; (iii) no court of competent jurisdiction
shall have issued an injunction or other order prohibiting the consummation of
the transactions contemplated by this Agreement; and (iv) the Equity Investor
shall not have been advised by written opinion of counsel (a copy of which has
been delivered to the Company) that the consummation of the transactions
contemplated hereby by such Equity Investor would be illegal; provided that in
the case of paragraph (iii), the Equity Investor will cooperate in good faith
with the Company to cause the injunction or order to be lifted or terminated
and, in the case of paragraph (iv), shall at the request of the Company, cause
another entity which wholly owns the Equity Investor, which is wholly owned by
the Equity Investor or which wholly owns such Equity Investor and other entity
to satisfy such Equity Investor's obligations hereunder, if such satisfaction
would not be illegal.

                            ARTICLE V. MISCELLANEOUS

     SECTION 5.1 CHOICE OF LAW. This Agreement shall be governed by and
construed in accordance with the laws of Texas, notwithstanding principles of
conflicts of laws.

     SECTION 5.2 ENTIRE AGREEMENT. This Agreement, including all schedules and
exhibits attached hereto, constitutes the entire agreement among the Parties
hereto with respect to the subject matter hereof, and may be amended only by a
writing executed by all Parties hereto.

     SECTION 5.3 BINDING EFFECT. This Agreement and the representations and
warranties contained herein shall be binding upon the heirs, executors, legal
representatives, administrators, successors and permitted assigns of the
Parties.

     SECTION 5.4 ASSIGNMENT. Except as provided in this Section, this Agreement
may not be assigned by any Party hereto without the prior written consent of all
other Parties. This Agreement may be assigned pursuant to the Assignment.

     SECTION 5.5 NOTICES. All notices, requests and approval required by this
Agreement (i) shall be in writing, (ii) shall be addressed to the Parties as
indicated below unless notified in writing of a change in address, and (iii)
shall be deemed to have been given either when personally delivered or, if sent
by recognized overnight courier service, the next Business Day, or if sent by
mail (in which event it shall be sent postage prepaid), upon delivery thereof,
or, if

                                       13
<PAGE>   16

sent by telegram, telex, or facsimile upon delivery thereof (if promptly
confirmed in writing). Notwithstanding the foregoing, the Purchase Notices shall
be deemed given when sent by facsimile transmission to the Equity Investor at
the fax number set forth below. The address of the Parties are as follows:

                  To Bargo:

                  Bargo Energy Company
                  700 Louisiana, Suite 3700
                  Houston, Texas 77002
                  Attn: Tim J. Goff and Lee Seekely
                  Facsimile: 713 236 9799

                  To EnCap Energy Capital Fund III, L.P.

                  c/o EnCap Investments, L.C.
                  1100 Louisiana, Suite 3150
                  Houston, Texas 77002
                  Attention: D. Martin Phillips
                  Facsimile: 713-659-6130

                  To EnCap Energy Capital Fund III-B, L.P.

                  c/o EnCap Investments, L.C.
                  1100 Louisiana, Suite 3150
                  Houston, Texas 77002
                  Attention: D. Martin Phillips
                  Facsimile: 713-659-6130

                  To BOCP Energy Partners, L.P.

                  c/o EnCap Investments, L.C.
                  1100 Louisiana, Suite 3150
                  Houston, Texas 77002
                  Attention: D. Martin Phillips
                  Facsimile: 713-659-6130

                                       14
<PAGE>   17

                  To Energy Capital Investment Co. PLC

                  c/o EnCap Investments, L.C.
                  1100 Louisiana, Suite 3150
                  Houston, Texas 77002
                  Attention: Gary R. Petersen
                  Facsimile: 713-659-6130

                  To Kayne Anderson Energy Fund, L.P.

                  1100 Louisiana, Suite 4550
                  Houston, Texas 77002
                  Attention: Daniel M. Weingeist
                  Facsimile: 713-655-7355

                  To BancAmerica Capital Investors SBIC, L.P.

                  100 North Tryon Street, 25th Floor
                  Charlotte, North Carolina 28255
                  Attention: J. Travis Hain
                  Facsimile: 704-386-6432

                  To Eos Partners SBIC, L.P.

                  320 Park Avenue
                  New York, New York 10022
                  Attention: Brian D. Young
                  Facsimile: 212-832-5815

                  To Eos Partners SBIC II, L.P.

                  320 Park Avenue
                  New York, New York 10022
                  Attention: Brian D. Young
                  Facsimile: 212-832-5815

                                       15
<PAGE>   18

                  To Eos Partners, L.P.

                  320 Park Avenue
                  New York, New York 10022
                  Attention: Brian D. Young
                  Facsimile: 212-832-5815

                  To SGC Capital Partners II LLC

                  1221 Avenue of the Americas, 15th Floor
                  New York, New York 10020
                  Attention: V. Frank Pottow
                  Facsimile: 212-278-5454

     SECTION 5.6 NO MERGER. The Parties agree and acknowledge that none of the
warranties, representations and covenants contained in this Agreement shall
merge upon the execution and delivery of this Agreement by the Parties and that
all such warranties, representations, and covenants shall continue in full force
and effect after the date hereof.

     SECTION 5.7 EXPENSES. The Company agrees to pay the Investors' reasonable
out-of-pocket expenses (including fees and expenses of legal counsel, including
in-house counsel, accountants and other professional advisors) incurred in
connection with the negotiation and settlement of this Agreement and the
Ancillary Agreements and the completion of the transactions contemplated hereby
and thereby.

     SECTION 5.8 THIRD PARTY BENEFICIARIES. Except as expressly permitted in
this Agreement, the Parties do not intend, nor shall any clause in this
Agreement be interpreted to create, for any third party an obligation to or
benefit from any of the Parties.

     SECTION 5.9 TRANSMISSION BY FACSIMILE. The Parties agree that this
Agreement may be transmitted by facsimile or such similar device and that the
reproduction of signatures by facsimile or such similar device shall be treated
as binding as if originals and each Party undertakes in writing to provide each,
and every other, Party with a copy of this Agreement bearing original
signatures.

     SECTION 5.10 SEVERABILITY. If any provision of this Agreement is determined
to be invalid or unenforceable by an arbitrator or a court of competent
jurisdiction, that provision shall be deemed to be severed from this Agreement
only to the extent of the facts in dispute, and where permitted by such
determination, and the remaining provisions of this Agreement shall not be
affected and shall remain valid and enforceable, provided that in the event that
any portion of this Agreement is determined to be or becomes invalid or
unenforceable (the "offending portion"), the Parties shall negotiate, in good
faith, reasonable changes to this Agreement that are consistent with industry
practice and as shall reasonably preserve the Parties' intentions, benefits and
obligations that were the subject of such offending portion.

                                       16
<PAGE>   19

     SECTION 5.11 WAIVER. Each Party may only waive any right it may have
pursuant to this Agreement in writing and subject to the notice provisions
hereof. Any waiver of a right, including any right under this Agreement, by any
Party shall not constitute a waiver of any other right by such Party. Failure or
delay by any Party to enforce any term or condition of this Agreement shall not
constitute a wavier of such term or condition.

     SECTION 5.12 COUNTERPARTS. This Agreement may be executed in one or more
counterparts all of which taken together will constitute one and the same
instrument.

     SECTION 5.13 REMEDIES. Except as otherwise provided in this Agreement, all
remedies provided for in this Agreement shall be cumulative and in addition to
and not in lieu of any other remedies available to any Party at law, in equity
or otherwise.

     SECTION 5.14 CONSTRUCTION. Each of the Parties hereto acknowledges that it
has had the benefit of legal counsel of its own choice and has been afforded an
opportunity to review this Agreement with its legal counsel and that this
Agreement shall be construed as if jointly drafted by the Parties hereto.

                                       17
<PAGE>   20

         IN WITNESS WHEREOF, the Parties hereto have executed this Agreement as
of the date above first written.

                                       ENERGY CAPITAL INVESTMENT COMPANY PLC

                                       By:
                                          --------------------------------------
                                          Gary R. Petersen
                                          Director

                                       ENCAP ENERGY CAPITAL FUND III, L.P.
                                       By: EnCap Investments L.L.C., General
                                           Partner

                                       By:
                                          --------------------------------------
                                          D. Martin Phillips
                                          Managing Director

                                       ENCAP ENERGY CAPITAL FUND III-B, L.P.
                                       By: EnCap Investments L.L.C., General
                                           Partner

                                       By:
                                          --------------------------------------
                                          D. Martin Phillips
                                          Managing Director

                                       BOCP ENERGY PARTNERS, L.P.
                                       By: EnCap Investments L.L.C., Manager

                                       By:
                                          --------------------------------------
                                          D. Martin Phillips
                                          Managing Director

                                                          SUBSCRIPTION AGREEMENT

                                       18
<PAGE>   21

                                       EOS PARTNERS, L.P.

                                       By:
                                          --------------------------------------
                                          Brian Young
                                          General Partner

                                       EOS PARTNERS SBIC, L.P.
                                       By: Eos SBIC General, L.P., its general
                                           partner
                                           By: Eos SBIC, Inc., its general
                                               partner

                                       By:
                                          --------------------------------------
                                          Brian Young
                                          President

                                       EOS PARTNERS SBIC II, L.P.
                                       By: Eos SBIC General II, L.P., its
                                           general partner
                                           By: Eos SBIC II, Inc., its general
                                               partner

                                       By:
                                          --------------------------------------
                                          Brian Young
                                          President

                                       SGC PARTNERS II LLC

                                       By:
                                          --------------------------------------
                                          V. Frank Pottow
                                          Managing Director

                                                          SUBSCRIPTION AGREEMENT

                                       19
<PAGE>   22

                                       BANCAMERICA CAPITAL INVESTORS SBIC I,
                                       L.P.
                                       By: BancAmerica Capital Management SBIC
                                           I, LLC, its general partner
                                           By: BancAmerica Capital Management I,
                                               L.P., its sole member
                                               By: BACM I GP, LLC, its general
                                                   partner

                                       By:
                                          --------------------------------------
                                          J. Travis Hain
                                          Managing Director

                                       KAYNE ANDERSON ENERGY FUND, L.P.
                                       By: Kayne Anderson Capital Advisors,
                                           L.P., its General Partner
                                           By: Kayne Anderson Investment
                                               Management, Inc., its General
                                               Partner

                                       By:
                                          --------------------------------------
                                          Daniel M. Weingeist
                                          Managing Director

                                       BARGO ENERGY COMPANY

                                       By:
                                          --------------------------------------
                                          Jonathan M. Clarkson
                                          President

                                                          SUBSCRIPTION AGREEMENT

                                       20<PAGE>   1
                                                                    EXHIBIT 10.2

                      FIRST AMENDMENT TO THE SECOND AMENDED
                      AND RESTATED SHAREHOLDERS' AGREEMENT

         This First Amendment to the Second Amended and Restated Shareholders'
Agreement (the "Amendment") is made and entered into this 30th day of March,
2000, by and among Bargo Energy Company, a Texas corporation (the "Company"),and
Bankers Trust Company, a New York banking corporation ("BT") and each of the
following (collectively, "Existing Shareholders" and together with BT, the
"Shareholders"), B. Carl Price, a Texas resident ("Price"), Don Wm. Reynolds, a
Texas resident ("Reynolds"), Energy Capital Investment Company PLC, an English
investment company ("Energy PLC"), EnCap Equity 1994 Limited Partnership, a
Texas limited partnership ("EnCap LP"), BER Partnership L.P., a Texas limited
partnership ("BER"), TJG Investments, Inc., a Texas corporation ("TJG"), BEC
Partnership, a Texas general partnership ("BEC"), Tim J. Goff ("Goff"), Thomas
Barrow ("Barrow"), James E. Sowell ("Sowell"), BOC Operating Corporation, Inc.,
a Texas corporation ("BOC"), EnCap Energy Capital Fund III-B, L.P., a Texas
limited partnership ("EnCap III-B"), BOCP Energy Partners, L.P., a Texas limited
partnership ("BOCP"), EnCap Energy Capital Fund III, L.P., a Texas limited
partnership ("EnCap III"), Kayne Anderson Energy Fund, L.P., a Delaware limited
partnership ("Kayne"), BancAmerica Capital Investors SBIC I, L.P., a Delaware
limited partnership ("BACI"), Eos Partners, L.P., a Delaware limited partnership
("Eos Partners"), Eos Partners SBIC, L.P., a Delaware limited partnership ("Eos
SBIC"), Eos Partners SBIC II, L.P., a Delaware limited partnership ("Eos SBIC
II" together with Eos Partners and Eos SBIC, are collectively referred to as
"EOS"), SGC Partners II LLC, a Delaware limited liability company ("SGCP"), and
evidences the following:

                                    RECITALS

         A. The Company and the Existing Shareholders entered into the Second
Amended and Restated Shareholders' Agreement (the "Agreement") on May 14, 1999,
pursuant to which such parties agreed, among other things to vote their shares
in favor of the election of the Designated Nominees (as defined in the
Agreement);

         B. The Company and certain of the Existing Shareholders have entered
into a Subscription Agreement dated as of even date herewith ("Subscription
Agreement"), pursuant to which such Shareholders have subscribed to purchase
Units (as defined in the Subscription Agreement);

         C. The Company, BT and certain other lenders have entered into a Credit
Agreement, dated March 30, 2000, pursuant to which, under the circumstances set
forth therein, certain loans made by BT may be converted into Units;

<PAGE>   2

         D. The parties to the Agreement desire to amend the Agreement as herein
provided to include the Units and to make BT a party to the Agreement;

                                    AGREEMENT

         NOW, THEREFORE, for and in consideration of the foregoing Recitals and
mutual covenants contained herein, the sufficiency of which is hereby
acknowledged, the parties hereto, intending to be legally bound, do hereby agree
as follows:

         Section 1 AMENDMENTS TO DEFINED TERMS. The following defined terms in
the Agreement are amended to read as follows:

         (a) The definition of Preferred Shares in Recital B. to the Agreement
shall be deleted.

         (b) The following definitions shall be added to Section 1 of the
Agreement

         "PREFERRED SHARES" means collectively the Preferred Series B Shares and
the Preferred Series C Shares;

         "PREFERRED SERIES B SHARES" means the Company's Cumulative Redeemable
Preferred Stock, Series B, $.01 par value.

         "PREFERRED SERIES C SHARES" means the Company's Cumulative Redeemable
Preferred Stock, Series C, $.01 par value.

         (c) The definition of Bargo Group shall be amended to read as follows:

         "BARGO GROUP" shall mean TJG, BEC, BER, BOC, Goff, Barrow, Sowell and
any transferee of the member of the Bargo Group that executes or is required to
execute an Addendum Agreement.

         (d) The definition "Shareholder" shall be amended to add BT.

         Section 2 AMENDMENTS TO THE RIGHT OF FIRST REFUSAL; TAG-ALONG RIGHTS;
AND DRAG ALONG RIGHTS. The following parts of Section 4 of the Agreement are
amended to read as follows:

         (a) Section 4(f) shall be amended to read as follows:

                  "If any Shareholder desires to make a Disposition of any
Preferred Series B Shares owned or held by it pursuant to a bona fide offer
(other than in an Exempt Transfer), such Shareholder (for purposes of this
Section 4(f), a "Selling Preferred Series B Shareholder") shall offer such
shares (the Preferred Series B Shares proposed to be transferred being called
the "Subject Preferred Series B Shares") for sale at the Purchase Price to the
other Shareholders who then own Preferred Series B Shares ("Preferred Series B
Shareholders"), all in accordance with the following provisions of this Section
4(f).

<PAGE>   3

                           (i) The Selling Preferred Series B Shareholder shall
                  deliver a written notice ("Preferred Series B Stock Offering
                  Notice") to the other Preferred Series B Shareholders to sell
                  the Subject Preferred Series B Shares to the Preferred Series
                  B Shareholders pursuant to this Agreement, indicating the
                  number of Subject Preferred Series B Shares and the proposed
                  Purchase Price. Once the Preferred Series B Stock Offering
                  Notice is delivered, the offer by the Selling Preferred Series
                  B Shareholder may not be withdrawn prior to the expiration of
                  the options of the other Preferred Series B Shareholders, as
                  provided in this Section 4(f). Within 15 days from the receipt
                  of such Preferred Series B Stock Offering Notice, the other
                  Preferred Series B Shareholders may deliver to the Selling
                  Preferred Series B Shareholder written notice accepting the
                  offer in the Preferred Series B Stock Offering Notice,
                  pursuant to which each such other Preferred Series B
                  Shareholder may purchase no more than the number of shares
                  equal to the product of: (A) the total number of Subject
                  Preferred Series B Shares, multiplied by (B) the fraction
                  equal to the total number of Preferred Series B Shares owned
                  by such other Preferred Series B Shareholder divided by the
                  aggregate number of Preferred Series B Shares owned by all
                  other Preferred Series B Shareholders. Any such reply to the
                  Selling Preferred Series B Shareholder shall constitute an
                  agreement binding upon the Selling Preferred Series B
                  Shareholder and the Preferred Series B Shareholders delivering
                  such reply to sell and purchase the stated portion of the
                  Subject Preferred Series B Shares at the Purchase Price.

                           (ii) Any dispute concerning the calculation of the
                  Purchase Price shall be resolved by the Board of Directors of
                  the Company, excluding any member of the Board who is, or is a
                  director, officer, partner or stockholder of, the Selling
                  Preferred Series B Shareholder in the transaction for which
                  the Purchase Price is being determined; provided that if all
                  directors are excluded pursuant to the foregoing, such
                  disputes shall be submitted to binding arbitration as provided
                  in Exhibit B. The Purchase Price shall be paid in cash at the
                  closing.

         If the Preferred Series B Shareholders do not elect to purchase all of
the Subject Preferred Series B Shares (such Subject Preferred Series B Shares
not being purchased are referred to herein as the "Remaining Subject Preferred
Series B Shares"), then the Selling Preferred Series B Shareholder shall cause
the proposed transferee (the "Proposed Preferred Series B Purchaser") to offer
in writing (a "Preferred Series B Sale Notice"), not less than 30 nor more than
120 days prior to the consummation of any proposed Disposition, to the Preferred
Series B Shareholders other than the Selling Preferred Series B Shareholder (the
"Tag Along Preferred Series B Shareholders") to purchase from each Tag Along
Preferred Series B Shareholder a number of the Preferred Series B Shares held by
each Tag Along Preferred Series B Shareholder equal to the product of: (i) the
total number of Remaining Subject Preferred Series B Shares which a proposed
transferee has offered to purchase, multiplied by (ii) the fraction equal to the
total number of Preferred Series B Shares which a Tag Along Preferred Series B
Shareholder

<PAGE>   4

owns, divided by the aggregate number of Preferred Series B Shares then
outstanding. The Preferred Series B Sale Notice shall set forth: (i) the name of
the Selling Preferred Series B Shareholder and the number of Subject Preferred
Series B Shares proposed to be transferred, (ii) the name and address of the
Proposed Preferred Series B Purchaser, (iii) the proposed amount and form of
consideration and terms and conditions of payment offered by such Proposed
Preferred Series B Purchaser and (iv) that the Proposed Preferred Series B
Purchaser has been informed of the tag along right provided for in this Section
4(f) and has agreed to purchase Preferred Series B Shares owned by any Tag Along
Preferred Series B Shareholder in accordance with the terms hereof. The tag
along right may be exercised by any Tag Along Preferred Series B Shareholder by
delivery of a written notice to the Proposed Preferred Series B Purchaser and
Selling Preferred Series B Shareholder (the "Preferred Series B Tag Along
Notice") within 30 days following its receipt of the Preferred Series B Sale
Notice. The Preferred Series B Tag Along Notice shall state the amount of
Preferred Series B Shares (the "Tag Along Preferred Series B Shares") that such
Tag Along Preferred Series B Shareholder proposes to include in such transfer to
the Proposed Preferred Series B Purchaser. To the extent that a Tag Along
Preferred Series B Shareholder accepts such tag along offer, the number of
Preferred Series B Shares to be sold to the Proposed Preferred Series B
Purchaser by the Selling Preferred Series B Shareholder shall be reduced to the
extent necessary to comply with this Section 4(f). In the event that the
Proposed Preferred Series B Purchaser does not purchase all Tag Along Preferred
Series B Shares from the Tag Along Preferred Series B Shareholders on the same
terms and conditions as specified in the Preferred Series B Sale Notice, then
the Selling Preferred Series B Shareholder shall not be permitted to sell any
Subject Preferred Series B Shares to the Proposed Preferred Series B Purchaser
in the proposed transfer. The closing of any purchase from the Tag Along
Preferred Series B Shareholders shall occur contemporaneously with the purchase
and sale of the Subject Preferred Series B Shares (as adjusted hereunder) or at
such other time as such Tag Along Preferred Series B Shareholders and the
Proposed Preferred Series B Purchaser shall agree.

         If the other Preferred Series B Shareholders do not elect to purchase
all Subject Preferred Series B Shares, the Selling Preferred Series B
Shareholder shall, subject to the other provisions of this Section 4(f), be
freed and discharged, except as herein stated, from all obligations under the
terms of this Agreement other than to sell the remaining Subject Preferred
Series B Shares to the purchaser and at the price and upon the terms stated in
the Preferred Series B Offering Notice, but only if such sale shall be completed
within a period of 90 days from the date of delivery of the Preferred Series B
Offering Notice to the other Preferred Series B Shareholders. If the Selling
Preferred Series B Shareholder does not complete such sale within such 90 day
period, all the provisions of this Agreement, including the provisions of this
Section 4(f), shall apply to any future sale or offer for sale of such Preferred
Series B Shares owned by the Selling Preferred Series B Shareholder."

         (b) The following shall be added as Section 4(g) of the Agreement:

                  "If any Shareholder desires to make a Disposition of any
Preferred Series C Shares owned or held by it pursuant to a bona fide offer
(other than in an Exempt Transfer), such

<PAGE>   5

Shareholder (for purposes of this Section 4(g), a "Selling Preferred Series C
Shareholder") shall offer such shares (the Preferred Series C Shares proposed to
be transferred being called the "Subject Preferred Series C Shares") for sale at
the Purchase Price to the other Shareholders who then own Preferred Series C
Shares ("Preferred Series C Shareholders"), all in accordance with the following
provisions of this Section 4(g).

                           (i) The Selling Preferred Series C Shareholder shall
                  deliver a written notice ("Preferred Series C Stock Offering
                  Notice") to the other Preferred Series C Shareholders to sell
                  the Subject Preferred Series C Shares to the Preferred Series
                  C Shareholders pursuant to this Agreement, indicating the
                  number of Subject Preferred Series C Shares and the proposed
                  Purchase Price. Once the Preferred Series C Stock Offering
                  Notice is delivered, the offer by the Selling Preferred Series
                  C Shareholder may not be withdrawn prior to the expiration of
                  the options of the other Preferred Series C Shareholders, as
                  provided in this Section 4(g). Within 15 days from the receipt
                  of such Preferred Series C Stock Offering Notice, the other
                  Preferred Series C Shareholders may deliver to the Selling
                  Preferred Series C Shareholder written notice accepting the
                  offer in the Preferred Series C Stock Offering Notice,
                  pursuant to which each such other Preferred Series C
                  Shareholder may purchase no more than the number of shares
                  equal to the product of: (A) the total number of Subject
                  Preferred Series C Shares, multiplied by (B) the fraction
                  equal to the total number of Preferred Series C Shares owned
                  by such other Preferred Series C Shareholder divided by the
                  aggregate number of Preferred Series C Shares owned by all
                  other Preferred Series C Shareholders. Any such reply to the
                  Selling Preferred Series C Shareholder shall constitute an
                  agreement binding upon the Selling Preferred Series C
                  Shareholder and the Preferred Series C Shareholders delivering
                  such reply to sell and purchase the stated portion of the
                  Subject Preferred Series C Shares at the Purchase Price.

                           (ii) Any dispute concerning the calculation of the
                  Purchase Price shall be resolved by the Board of Directors of
                  the Company, excluding any member of the Board who is, or is a
                  director, officer, partner or stockholder of, the Selling
                  Preferred Series C Shareholder in the transaction for which
                  the Purchase Price is being determined; provided that if all
                  directors are excluded pursuant to the foregoing, such
                  disputes shall be submitted to binding arbitration as provided
                  in Exhibit B. The Purchase Price shall be paid in cash at the
                  closing.

         If the Preferred Series C Shareholders do not elect to purchase all of
the Subject Preferred Series C Shares (such Subject Preferred Series C Shares
not being purchased are referred to herein as the "Remaining Subject Preferred
Series C Shares"), then the Selling Preferred Series C Shareholder shall cause
the proposed transferee (the "Proposed Preferred Series C Purchaser") to offer
in writing (a "Preferred Series C Sale Notice"), not less than 30 nor more than
120 days prior to the consummation of any proposed Disposition, to the Preferred
Series C Shareholders other than the Selling Preferred Series C Shareholder (the
"Tag Along Preferred

<PAGE>   6

Series C Shareholders") to purchase from each Tag Along Preferred Series C
Shareholder a number of the Preferred Series C Shares held by each Tag Along
Preferred Series C Shareholder equal to the product of: (i) the total number of
Remaining Subject Preferred Series C Shares which a proposed transferee has
offered to purchase, multiplied by (ii) the fraction equal to the total number
of Preferred Series C Shares which a Tag Along Preferred Series C Shareholder
owns, divided by the aggregate number of Preferred Series C Shares then
outstanding. The Preferred Series C Sale Notice shall set forth: (i) the name of
the Selling Preferred Series C Shareholder and the number of Subject Preferred
Series C Shares proposed to be transferred, (ii) the name and address of the
Proposed Preferred Series C Purchaser, (iii) the proposed amount and form of
consideration and terms and conditions of payment offered by such Proposed
Preferred Series C Purchaser and (iv) that the Proposed Preferred Series C
Purchaser has been informed of the tag along right provided for in this Section
4(g) and has agreed to purchase Preferred Series C Shares owned by any Tag Along
Preferred Series C Shareholder in accordance with the terms hereof. The tag
along right may be exercised by any Tag Along Preferred Series C Shareholder by
delivery of a written notice to the Proposed Preferred Series C Purchaser and
Selling Preferred Series C Shareholder (the "Preferred Series C Tag Along
Notice") within 30 days following its receipt of the Preferred Series C Sale
Notice. The Preferred Series C Tag Along Notice shall state the amount of
Preferred Series C Shares (the "Tag Along Preferred Series C Shares") that such
Tag Along Preferred Series C Shareholder proposes to include in such transfer to
the Proposed Preferred Series C Purchaser. To the extent that a Tag Along
Preferred Series C Shareholder accepts such tag along offer, the number of
Preferred Series C Shares to be sold to the Proposed Preferred Series C
Purchaser by the Selling Preferred Series C Shareholder shall be reduced to the
extent necessary to comply with this Section 4(g). In the event that the
Proposed Preferred Series C Purchaser does not purchase all Tag Along Preferred
Series C Shares from the Tag Along Preferred Series C Shareholders on the same
terms and conditions as specified in the Preferred Series C Sale Notice, then
the Selling Preferred Series C Shareholder shall not be permitted to sell any
Subject Preferred Series C Shares to the Proposed Preferred Series C Purchaser
in the proposed transfer. The closing of any purchase from the Tag Along
Preferred Series C Shareholders shall occur contemporaneously with the purchase
and sale of the Subject Preferred Series C Shares (as adjusted hereunder) or at
such other time as such Tag Along Preferred Series C Shareholders and the
Proposed Preferred Series C Purchaser shall agree.

         If the other Preferred Series C Shareholders do not elect to purchase
all Subject Preferred Series C Shares, the Selling Preferred Series C
Shareholder shall, subject to the other provisions of this Section 4(g), be
freed and discharged, except as herein stated, from all obligations under the
terms of this Agreement other than to sell the remaining Subject Preferred
Series C Shares to the purchaser and at the price and upon the terms stated in
the Preferred Series C Offering Notice, but only if such sale shall be completed
within a period of 90 days from the date of delivery of the Preferred Series C
Offering Notice to the other Preferred Series C Shareholders. If the Selling
Preferred Series C Shareholder does not complete such sale within such 90 day
period, all the provisions of this Agreement, including the provisions of this
Section 4(g), shall apply to any future sale or offer for sale of such Preferred
Series C Shares owned by the Selling Preferred Series C Shareholder."

<PAGE>   7

         Section 3 CONSENT OF PREFERRED SERIES B SHAREHOLDER. Each Preferred
Series B Shareholder consents and agrees that dividends and other distributions
may be paid with respect to the Preferred Series C Shares, and the Preferred
Series C Shares may be redeemed as follows:

                  (a) While the Preferred Series C Shares are outstanding, the
Corporation shall be required to redeem Preferred Series B Shares pursuant to
Section 6(b) as if the first sentence of Section 6(b) was replaced with the
following two sentences:

         "Following the closing of a Qualified Public Offering, the Corporation
         shall redeem for cash, in the manner provided for in subsection (a), a
         number of shares of Series B Preferred calculated by dividing the
         Series B Excess Offering Proceeds by the Redemption Price of the Series
         B Preferred. The Series B Excess Offering Proceeds shall equal the
         Excess Offering Proceeds multiplied by a fraction the numerator of
         which is the Stated Value plus per share accrued and unpaid dividends
         on the Series B Preferred and the denominator of which is the Stated
         Value plus per share accrued and unpaid dividends on the Series C
         Preferred plus the Stated Value plus per share accrued and unpaid
         dividends on the Series B Preferred.

                  (b) While the Preferred Series C Shares are outstanding,
distributions, dividends and the definition of Excess Offering Proceeds shall
include the term "plus Parity Securities" after the words Series B Preferred in
clause (ii) thereof and repurchases of Preferred Series B Shares and Parity
Stock shall be made as if Section 3(e) of the Certificate of Designations of
Preferred Stock for the Preferred Series B Shares read as follows:

                  (e) So long as any shares of Series B Preferred are
         outstanding, no dividend or other distribution, whether in liquidation
         or otherwise, shall be declared or paid, or set apart for payment on or
         in respect of, any Junior Securities, nor shall any Junior Securities
         be redeemed, purchased or otherwise acquired for any consideration
         prior to the stated maturity thereof (or any money be paid to a sinking
         fund or otherwise set apart for the purchase or redemption of any such
         Junior Securities), without the prior consent of the holders of a
         majority of the outstanding shares of Series B Preferred voting
         together as a separate class. So long as any shares of Series B
         Preferred are outstanding and without the prior consent of the holders
         of a majority of the outstanding shares of Series B Preferred voting
         together as a separate class, no dividend or other distribution,
         whether in liquidation or otherwise, shall be declared or paid, or set
         apart for payment on or in respect of, any Parity Securities, nor shall
         any Parity Securities be redeemed, purchased or otherwise acquired for
         any consideration prior to the stated maturity thereof (or any money be
         paid to a sinking fund or otherwise set apart for the purchase or
         redemption of any such Parity Securities), unless (i) if there are any
         accrued and unpaid dividends on the Series B Preferred Stock or such
         Parity Stock, such dividend or distribution shall be allocated to pay
         such accrued and unpaid dividends the Series B Preferred and such
         Parity Stock, pro rata based on the amount of such accrued and unpaid

<PAGE>   8

         dividends and (ii) if all accrued and unpaid dividends have been paid
         on the Series B Preferred and such Parity Stock, such dividends and
         distributions shall be allocated pro rata to the holders of the Series
         B Preferred and the Parity Stock based on the respective liquidation
         preferences thereof.

                  (c) The Shareholders agree that the Preferred Series C Shares
are Parity Securities with the Preferred Series B Shares.

         Section 4 EFFECTIVE DATE; BINDING EFFECT. This Amendment shall become
effective on the day the Company issues shares of Preferred Series C Shares as
provided in the Subscription Agreement, dated of even date, to which this
Amendment is attached as Exhibit C ("Subscription Agreement"). Following
effectiveness, each Investor and the Company by execution of this Agreement
shall be bound by and subject to the terms and obligations under the Agreement,
as amended by this Amendment. If this Amendment does not become effective within
six business days following the Expiration Date (as defined in the Subscription
Agreement) it shall become null and void and shall never take effect.

         Section 5 NO OTHER CHANGES. Except as explicitly amended by the
Amendment, the terms, conditions, rights and obligations under the Agreement
shall remain in full force and effect.

         Section 6 COUNTERPARTS. This Amendment may be executed by the parties
hereto in any number of counterparts, each of which shall be deemed an original,
but all of which shall constitute one and the same agreement.

                  [Remainder of page intentionally left blank]

<PAGE>   9

                  IN WITNESS WHEREOF, the Parties hereto have executed this
Agreement as of the date above first written.

                              BARGO ENERGY COMPANY

                              By:
                                 -----------------------------------
                                 Jonathan M. Clarkson
                                 President

                              --------------------------------------
                              B. Carl Price

                              --------------------------------------
                              Don Wm. Reynolds

                              ENERGY CAPITAL INVESTMENT COMPANY PLC

                              By:
                                 -----------------------------------
                                 Gary R. Petersen
                                 Director

                              ENCAP EQUITY 1994 LIMITED PARTNERSHIP

                              By:
                                 -----------------------------------
                                 D. Martin Phillips
                                 Managing Director

                              BER PARTNERSHIP L.P.
                              By: BOC Operating Company, Inc.

                              By:
                                 -----------------------------------
                                 Tim J. Goff
                                 President

<PAGE>   10

TJG INVESTMENTS, INC.

By:
   -----------------------------------
   Tim J. Goff
   President

BEC PARTNERSHIP

By:
   -----------------------------------
   Tim J. Goff
   Manager

--------------------------------------
Tim J. Goff

--------------------------------------
Thomas Barrow

--------------------------------------
James E. Sowell

BOC OPERATING COMPANY, INC.

By:
   -----------------------------------
   Tim J. Goff
   President

<PAGE>   11

ENCAP ENERGY CAPITAL FUND III-B, L.P.
By: EnCap Investments L.L.C., General Partner

By:
   -----------------------------------
   D. Martin Phillips
   Managing Director

BOCP ENERGY PARTNERS, L.P.
By: EnCap Investments L.L.C., Manager

By:
   -----------------------------------
   Gary R. Petersen
   Managing Director

ENCAP ENERGY CAPITAL FUND III, L.P.

By:
   -----------------------------------
   D. Martin Phillips
   Managing Director

KAYNE ANDERSON ENERGY FUND, L.P.
By: Kayne Anderson Capital Advisors, L.P., its General Partner
    By: Kayne Anderson Investment Management, Inc., its General Partner

By:
   -----------------------------------
   Daniel M. Weingeist
   Managing Director

<PAGE>   12

BANCAMERICA CAPITAL INVESTORS SBIC I, L.P.
By: BancAmerica Capital Management SBIC I, LLC, its general partner
    By: BancAmerica Capital Management I, L.P., its sole member
        By: BACM I GP, LLC, its general partner

By:
   -----------------------------------
   J. Travis Hain
   Managing Director

EOS PARTNERS, L.P.

By:
   -----------------------------------
   Brian D. Young
   General Partner

EOS PARTNERS SBIC, L.P.
By: Eos SBIC General, L.P., its general partner
    By: Eos SBIC, Inc., its general partner

By:
   -----------------------------------
   Brian D. Young
   President

EOS PARTNERS SBIC II, L.P.
By: Eos SBIC General II, L.P., its general partner
    By: Eos SBIC II, Inc., its general partner

By:
   -----------------------------------
   Brian D. Young
   President

<PAGE>   13

SGC PARTNERS II LLC

By:
   -----------------------------------
   V. Frank Pottow
   Managing Director

BANKERS TRUST COMPANY

By:
   -----------------------------------
   Name:
        ------------------------------
   Title:
         -----------------------------

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