Document:

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                                                                     EXHIBIT 4.2

                                      FIRST
                                  AMENDMENT TO
                         TRANSFER RESTRICTION AGREEMENT
                                       OF
                             BOIS D'ARC ENERGY, LLC

      This First Amendment to Transfer Restriction Agreement of Bois d'Arc
Energy, LLC (this "Amendment") is to be effective as of July 27, 2004. Any
capitalized terms used herein for which a definition is not provided herein
shall have the same meanings as assigned to such terms in the Transfer
Restriction Agreement dated as of July 16, 2004 (the "Restriction Agreement").

      WHEREAS, the Restriction Agreement was executed incident to the formation
of a Nevada limited liability company known as Bois d'Arc Energy, LLC (the
"Company");

      WHEREAS, effective July 27, 2004, the Company awarded additional Class C
Units under its Long-term Incentive Plan, and the award recipients consented to
the terms of the Restriction Agreement and became parties thereto; and

      WHEREAS, the parties hereto desire to amend the Restriction Agreement to
provide for the admission of new Members on and after the effective date hereof
pursuant to award agreements under the Long-term Incentive Plan.

      NOW, THEREFORE, it is agreed:

      1.    From and after the effective date hereof, the Restriction Agreement
            is amended in the following respects (added provisions are
            underlined and bold):

            a.    "Holder" or "Holders" shall mean (i) the Persons executing the
                  RESTRICTION Agreement as evidenced by the signature pages
                  thereto, (ii) THOSE PERSONS WHO ARE ADMITTED AS MEMBERS AS A
                  RESULT OF THE ISSUANCE OF UNITS PURSUANT TO THE LONG-TERM
                  INCENTIVE PLAN, AND (iii) any assignee of all or any part of
                  their respective interests in the Company.

            b.    "Member" or "Members" shall mean (i) one or more of those
                  Persons executing the Restriction Agreement as a Member of the
                  Company, (ii) ONE OR MORE OF THOSE PERSONS WHO ARE ADMITTED AS
                  MEMBERS AS A RESULT OF THE ISSUANCE OF UNITS PURSUANT TO THE
                  LONG-TERM INCENTIVE PLAN, AND (iii) any assignee of all or any
                  part of their respective interests in the Company who is
                  admitted to the Company as a Member in conformity with the
                  provisions of the Operating Agreement

            c.    Section 7.1. Execution in Counterparts; JOINDER AGREEMENTS.
                  The RESTRICTION Agreement may be executed in counterparts, all
                  of which taken together shall be deemed one original, AND
                  ADDITIONAL PARTIES TO THE RESTRICTION AGREEMENT MAY BE ADDED
                  THROUGH EXECUTION OF JOINDER AGREEMENTS INCORPORATED IN THEIR
                  AWARD AGREEMENTS UNDER THE LONG-TERM INCENTIVE PLAN.

            d.    Section 7.6. Amendment. This Agreement may be amended or

                                       1
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                  modified only by approval of the Board of Managers of the
                  Company pursuant to Sections 6.6 and 9.7 of the Operating
                  Agreement. Each Holder other than Comstock Offshore, LLC, by
                  its execution of this Agreement OR A JOINDER AGREEMENT, hereby
                  makes, constitutes and appoints the Chief Executive Officer of
                  the Company as its true and lawful agent and attorney-in-fact,
                  with full power of substitution and full power and authority
                  in its name, place and stead to make, execute, sign, and
                  acknowledge all instruments that the Chief Executive Officer
                  deems appropriate to reflect any amendment or modification of
                  this Agreement pursuant to the terms of this Section 7.6. The
                  power of attorney granted by this Section 7.6 shall be
                  considered coupled with an interest and shall survive any
                  disability of a Member.

      2.    (i) The Chief Executive Officer of the Company, as agent for the
Holders other than Comstock Offshore, LLC, hereby consents to this Amendment.

      3.    This instrument may be executed by the parties hereto individually
or in combination, in one or more counterparts, each of which shall be an
original and all of which shall together constitute one in the same instrument.

      EXECUTED to be effective as of July 27, 2004.

                                      COMSTOCK OFFSHORE, LLC

                                      By:    /s/ Roland O. Burns
                                         ---------------------------------
                                      Name:  Roland O. Burns
                                      Title: Sr. Vice President

                                      Pursuant to the authority granted to the
                                      Chief Executive Officer in Section 7.6 of
                                      the Restriction Agreement, the Chief
                                      Executive Officer has executed this
                                      Amendment on behalf of all other Members.

                                      /s/ Wayne L. Laufer
                                      ------------------------------------
                                      WAYNE L. LAUFER

                                       2<PAGE>

                                                                     EXHIBIT 4.4

                             BOIS D'ARC ENERGY, LLC
                             600 TRAVIS, SUITE 6275
                              HOUSTON, TEXAS 77002

as of July 21, 2004

Ms. Sally Lynn Blackie
BetsWest Interests, L.P.
5900 Highway 290 East
Brenham, Texas 77833

      Re:   Bois d'Arc Energy, LLC Contribution Agreement
            Supplemental Agreement

Dear Ms. Blackie:

      Bois d'Arc Energy, LLC (the "Company") has offered to you and/or your
limited partnership BetsWest Interests, L.P. ("BetsWest") the opportunity to
contribute the working interest you and/or BetsWest own in offshore Gulf of
Mexico oil and gas leases to Bois d'Arc Properties, LP, a wholly owned
subsidiary of the Company, in return for the issuance of membership units in the
Company. The details and mechanics of this proposed transaction are set forth in
the Contribution Agreement and Private Place Memorandum previously delivered to
you. Capitalized terms used herein and not otherwise defined will have the
meanings assigned to such terms in the Contribution Agreement.

      You and the Company hereby agree as follows:

      1.    (a)   If the Company determines to register under the Securities
Act shares of common stock of the Company (as converted to a corporation as
provided in Section 17.6 of the Operating Agreement) for its own account and
pursuant to an initial public offering, the Company shall use its reasonable
best efforts to include in such registration the shares issued to you pursuant
to the conversion, as you request, but not to exceed 50% of the number of shares
so issued to you on the same terms and conditions as shares of common stock
offered by the Company for its own account. You will be required to give the
Company written notice of the number of shares you so desire to register within
30 days after the date the Company notifies you of its intent to effect a
registration. If the Company's underwriters advise the Company that in their
reasonable opinion the number of shares requested to be included in such
registration exceeds the number which can be sold in the offering without
adversely affecting the marketability of the offering, the number of shares to
be included by you will be reduced accordingly prior to any reductions by the
Company. If any other holder of common stock has registration rights and such
holder (or holders) has exercised its (or their) registration rights, the number
of shares to be included by such other holder (or holders) will be reduced prior
to any reduction in the number of shares to be included by you. You agree to
execute and deliver all agreements that may be requested by the Company or the
underwriters that are customary for

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Ms. Sally Lynn Blackie
as of July 21, 2004
Page 2

selling shareholders in a transaction of this nature. If the Company determines
not proceed with a registration, it shall be relieved of any further obligation
under this Section 1.

            (b)   The Company shall (i) furnish to you such number of copies of
such registration statement, each amendment and supplement thereto, the
prospectus included in such registration statement (including, without
limitation, each preliminary prospectus) and such other documents as you may
reasonably request in order to facilitate the disposition of your common stock
of the Company, (ii) use its reasonable best efforts to cause all such common
stock to be listed on each securities exchange or exchanges or automated
quotation system upon which securities of the Company of the same class are then
listed, and (iii) use its reasonable best efforts to comply with all applicable
rules and regulations of the Securities and Exchange Commission and applicable
state securities authorities.

            (c)   You will be responsible for your own legal fees incurred in
connection with the offering.

            (d)   The Company agrees to indemnify and hold harmless you and
BetsWest from and against any and all losses, claims, damages and liabilities
(including, without limitation, reasonable legal fees and other expenses
incurred in connection with any suit, action or proceeding or any claim
asserted), arising out of any untrue statement or alleged untrue statement of a
material fact contained in the registration statement or any prospectus, or
arising out of any omission or alleged omission to state therein a material fact
required to be stated therein or necessary in order to make the statements
therein, in the light of the circumstances under which they were made, not
misleading, except insofar as such losses, claims, damages or liabilities arise
out of any untrue statement or omission or alleged untrue statement or omission
made in reliance upon and in conformity with any information relating to you
furnished to the Company in writing by you expressly for use therein.

            (e)   You agree to indemnify and hold harmless the Company and its
affiliates (and their officers and directors (or analogous principals)) from and
against any and all losses, claims, damages and liabilities (including, without
limitation, reasonable legal fees and other expenses incurred in connection with
any suit, action or proceeding or any claim asserted), arising out of any untrue
statement or alleged untrue statement of a material fact contained in the
registration statement or any prospectus, or arising out of any omission or
alleged omission to state therein a material fact required to be stated therein
or necessary in order to make the statements therein, in the light of the
circumstances under which they were made, not misleading, insofar as such
losses, claims, damages or liabilities arise out of any untrue statement or
omission or alleged untrue statement or omission made in reliance upon and in
conformity with any information relating to you furnished to the Company in
writing by you expressly for use therein.

      2.    This supplemental agreement constitutes the entire agreement and
understanding of the parties hereto with respect to the subject matters hereof
and supersedes any and all prior and contemporaneous negotiations, agreements,
arrangements and understandings between the

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Ms. Sally Lynn Blackie
as of July 21, 2004
Page 3

parties, written or oral, relating to the matters provided for herein, including
without limitation, the matters set forth in paragraph 9 of the letter agreement
dated July 21, 2004 among you, the Company and certain other persons, provided
the remaining terms of such letter agreement, including paragraphs 1-8 thereof,
remain in full force and effect.

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Ms. Sally Lynn Blackie
as of July 21, 2004
Page 4

      The Company encourages you to discuss this supplemental agreement with
your attorneys and counselors. This agreement will be effective upon execution
by all parties hereto and shall be effective as of July 1, 2004. This agreement
may be executed in multiple counterparts, all of which together shall constitute
one instrument.

                                   Sincerely,

                                   BOIS D'ARC ENERGY, LLC

                                   By: /s/ Roland O. Burns
                                       -----------------------------------------
                                       Roland O. Burns,
                                       Senior Vice President and Chief Financial
                                       Officer

cc:   Gary W. Blackie, President

Agreed and Accepted:

/s/ Sally L. Blackie
--------------------------------
Sally Lynn Blackie, Individually

BETSWEST INTERESTS, L.P.

By: JO Arc Resources, Inc.,
   ------------------------
   general partner

By: /s/ Sally L. Blackie
   -----------------------------
   Sally Lynn Blackie, President

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