<PAGE>   1
                                                                   EXHIBIT 10.34


                                                                  Execution Copy


THIS WARRANT AND ANY SHARES ACQUIRED UPON THE EXERCISE OF THIS WARRANT HAVE NOT
BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933 OR UNDER ANY STATE SECURITIES
OR BLUE SKY LAWS.  NEITHER THIS WARRANT NOR ANY OF SUCH SHARES MAY BE SOLD,
ASSIGNED, TRANSFERRED, OR OTHERWISE DISPOSED OF IN THE ABSENCE OF REGISTRATION
UNDER SAID ACT AND UNDER APPLICABLE STATE SECURITIES OR BLUE SKY LAWS OR
EXEMPTIONS FROM SUCH REGISTRATION.  THIS WARRANT MAY NOT BE SOLD, ASSIGNED,
TRANSFERRED, OR OTHERWISE DISPOSED OF EXCEPT UPON THE CONDITIONS SPECIFIED IN
THIS WARRANT, AND NO SALE, ASSIGNMENT, TRANSFER, OR OTHER DISPOSITION OF THIS
WARRANT SHALL BE VALID OR EFFECTIVE UNLESS AND UNTIL SUCH CONDITIONS SHALL HAVE
BEEN COMPLIED WITH.



                             STOCK PURCHASE WARRANT

                                   ISSUED TO

                      THE J.W. MCCONNELL FAMILY FOUNDATION

<PAGE>   2
                               TABLE OF CONTENTS
<TABLE>
<CAPTION>
                                                                                                                      Page
                                                                                                                      ----
<S>      <C>                                                                                                           <C>
1.       Manner of Exercise; Issuance of Certificates; Payment for Shares . . . . . . . . . . . . . . . . . . . . . .   1

2.       Period of Exercise . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   3
         (a)     Call Option of the Company . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   3
         (b)     Repurchase Obligation of the Company . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   4

3.       Certain Agreements of the Company  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   4
         (a)     Shares to be Fully Paid  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   4
         (b)     Reservation of Shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   4
         (c)     Listing of Shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   4
         (d)     Certain Actions Prohibited . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   5

4.       Antidilution Provisions  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   5
         (a)     Issuance of Capital Stock  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   5
         (b)     Treatment of Options and Convertible Securities; Computation of Consideration  . . . . . . . . . . .   5
         (c)     Subdivisions and Combinations  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   9
         (d)     Extraordinary Dividends and Distributions  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   9
         (e)     Computation of Market Price  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  10
         (f)     Record Date Adjustments  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  10
         (g)     Minimum Adjustment of Exercise Price . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  11
         (h)     Reorganization, Reclassification, Consolidation, Merger, or Sale . . . . . . . . . . . . . . . . . .  11
         (i)     No Fractional Shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  12
         (j)     Other Notices  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  12

5.       No Rights or Liabilities as a Shareholder  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  13

6.       Transfer, Exchange, and Replacement of Warrant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  13
         (a)     Warrant Not Transferable . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  13
         (b)     Replacement of Warrant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  13
         (c)     Register . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  13
         (d)     Exercise or Transfer Without Registration  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  14
         (e)     Expenses of Transfer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  14

7.       Notices  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  14

8.       GOVERNING LAW  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  14

9.       Miscellaneous  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  15
         (a)     Amendments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  15
         (b)     Descriptive Headings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  15
         (c)     Successors and Assigns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  15
</TABLE>
<PAGE>   3
THIS WARRANT AND ANY SHARES ACQUIRED UPON THE EXERCISE OF THIS WARRANT HAVE NOT
BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933 OR UNDER ANY STATE SECURITIES
OR BLUE SKY LAWS.  NEITHER THIS WARRANT NOR ANY OF SUCH SHARES MAY BE SOLD,
ASSIGNED, TRANSFERRED, OR OTHERWISE DISPOSED OF IN THE ABSENCE OF REGISTRATION
UNDER SAID ACT AND UNDER APPLICABLE STATE SECURITIES OR BLUE SKY LAWS OR
EXEMPTIONS FROM SUCH REGISTRATION.  THIS WARRANT MAY NOT BE SOLD, ASSIGNED,
TRANSFERRED, OR OTHERWISE DISPOSED OF EXCEPT UPON THE CONDITIONS SPECIFIED IN
THIS WARRANT, AND NO SALE, ASSIGNMENT, TRANSFER, OR OTHER DISPOSITION OF THIS
WARRANT SHALL BE VALID OR EFFECTIVE UNLESS AND UNTIL SUCH CONDITIONS SHALL HAVE
BEEN COMPLIED WITH.

No. MC-01                                      Right to Purchase 100,000 Shares


                             STOCK PURCHASE WARRANT


         THIS CERTIFIES THAT, for value received, The J.W. McConnell Family
Foundation (the "Original Holder"), or registered successors or assigns, is
entitled to purchase from Source Media, Inc., a Delaware corporation (the
"Company"), at any time or from time to time during the period specified in
Paragraph 2 hereof, 100,000 fully paid and nonassessable shares of the
Company's Common Stock, par value $.001 per share (the "Common Stock"), at an
exercise price per share of $6.00 (the "Exercise Price").  The term "Warrant
Shares", as used herein, refers to the shares of Common Stock purchasable
hereunder.  The Warrant Shares and the Exercise Price are subject to adjustment
as provided in Paragraph 4 hereof.

         This Warrant is subject to the following terms, provisions, and
conditions:

         1.      Manner of Exercise; Issuance of Certificates; Payment for
Shares.  Subject to the provisions hereof, this Warrant may be exercised by the
holder hereof, in whole or in part (but not as to a fractional Warrant Share),
by the surrender of this Warrant, together with a completed Exercise Agreement
in the form attached hereto, to the Company during normal business hours on any
business day at the Company's principal office at 8140 Walnut Hill Lane, Suite
1000, Dallas, Texas 75231 (or such other office or agency of the Company as it
may designate by notice to the holder hereof), and upon payment to the Company
of the Exercise Price for the Warrant Shares specified in said Exercise
Agreement.  The Warrant Shares so purchased shall be deemed to be issued to the
holder hereof or its designee as the record owner of such shares as of the
close of business on the date on which this Warrant shall have been
surrendered, the completed Exercise Agreement delivered, and payment made for
such shares as aforesaid.  Certificates for the Warrant Shares so purchased,
representing the aggregate number of shares
<PAGE>   4
specified in said Exercise Agreement, shall be delivered to the holder hereof
within a reasonable time, not exceeding seven business days, after this Warrant
shall have been so exercised.  The certificates so delivered shall be in such
denominations as may be requested by the holder hereof and shall be registered
in the name of said holder.  If this Warrant shall have been exercised only in
part, then, unless this Warrant has expired, the Company shall, at its expense,
at the time of delivery of said certificates, deliver to said holder a new
Warrant representing the number of shares with respect to which this Warrant
shall not then have been exercised.  The Company shall pay all taxes and other
expenses and charges payable in connection with the preparation, execution, and
delivery of stock certificates (and any new Warrants) pursuant to this
Paragraph 1 except that, in case such stock certificates shall be registered in
a name or names other than the holder of this Warrant, funds sufficient to pay
all stock transfer taxes which shall be payable in connection with the
execution and delivery of such stock certificates shall be paid by the holder
hereof to the Company at the time of the delivery of such stock certificates by
the Company as mentioned above.

         Payment of the Exercise Price may be made by either of the following
methods:

                 (i)      Cash Exercise.  By payment to the Company of the
         Exercise Price in cash or by certified or official bank check, for
         each share being purchased;

                 (ii)     Surrender of Notes.  By surrender to the Company for
         cancellation of any Note or Notes (as such terms are defined in that
         certain Amended and Restated Note Agreement, dated as of March 31,
         1997 (the "Amended and Restated Note Agreement"), among the Company,
         IT Network, Inc., the Original Holder and the other Purchasers named
         therein), or any portion of a Note, for which credit shall be given
         toward the Exercise Price on a dollar-for-dollar basis with reference
         to the principal amount and accrued but unpaid interest cancelled;

                 (iii)    Net Issue Exercise.  By an election to receive shares
         the aggregate fair market value of which as of the date of exercise is
         equal to the fair market value of this Warrant (or the portion thereof
         being exercised) on such date, in which event the Company, upon
         receipt of notice of such election, shall issue to the holder hereof a
         number of shares of Common Stock equal to (A) the number of shares of
         Common Stock acquirable upon exercise of all or any portion of this
         Warrant being exercised, as at such date, multiplied by (B) the
         balance remaining after deducting (x) the Exercise Price, as in effect
         on such date, from (y) the market price of one share of Common Stock
         as at such date (determined as provided in Paragraph 4(e) hereof) and
         dividing the result by (C) such market price; provided, however, that
         payment of the Exercise Price pursuant to this method may be made only
         to the extent that the aggregate outstanding principal amount of the
         Notes held by the holder of this Warrant on the date of such election
         has been paid in full; or





                                      -2-
<PAGE>   5
                 (iv)     Combined Payment Method.  By satisfaction of the
         Exercise Price for such shares acquired in combination of the methods
         described in clauses (i), (ii) or (iii).

         2.      Period of Exercise.  Subject to the provisions of Paragraphs
2(a) and (b) below, this Warrant is exercisable at any time after the date
hereof, and before 5:00 p.m., Dallas time, on March 31, 2004.

                 (a)      Call Option of the Company .

                          (i)     Subject to the satisfaction in full of the
                 conditions set forth in subparagraph (ii) below, at any time
                 after the second anniversary of the date hereof, the Company
                 may, by written notice to the holder of this Warrant (the
                 "Call Notice"), elect to purchase this Warrant (or any new
                 Warrant then held by such holder representing the number of
                 shares with respect to which this Warrant shall not have been
                 exercised), in whole, on the Effective Date of Call (as
                 defined below), at a cash price for this Warrant equal to the
                 product of (x) $.01 multiplied by (y) the number of shares
                 with respect to which this Warrant shall not have been
                 exercised on such date.  As used in this Paragraph 2(a), the
                 term "Effective Date of Call" shall mean the later of (x) 60
                 days from the date of the Call Notice or (y) 60 days from the
                 date a registration statement covering the Warrant Shares
                 shall have become effective, which registration statement was
                 filed by the Company upon the receipt of requests made
                 (including a request made by the holder of this Warrant) prior
                 to the Effective Date of Call and pursuant to the Amended and
                 Restated Registration Rights Agreement dated as of the date
                 hereof, among the Company, the Original Holder and the other
                 persons named therein.

                          (ii)    The Company's right to exercise the purchase
                 option referred to in subparagraph (i) above is conditional
                 upon the last reported sales price of the Common Stock
                 (determined as provided in Paragraph 4(e) hereof) having being
                 equal to at least 200% of the Exercise Price then in effect
                 for 30 of the 40 consecutive Trading Days (as defined below)
                 immediately prior to the date of the Call Notice.

                          (iii)   If the conditions referred to above have been
                 satisfied in full (including, without limitation, the giving
                 of a Call Notice), the holder shall present this Warrant to
                 the Company at its office referred to in Paragraph 1 hereof on
                 the Effective Date of Call, and upon surrender thereof shall
                 be entitled to receive the cash price to which such holder is
                 entitled, by wire transfer of immediately available funds to
                 an account designated by the holder hereof or by delivery to
                 such





                                      -3-
<PAGE>   6
                 holder of a certified or official bank check in New York
                 Clearing House Funds payable to the order of such holder.
                 Notwithstanding anything to the contrary implied in this
                 Paragraph 2(a), until the Effective Date of Call the holder of
                 this Warrant shall continue to be entitled to exercise any and
                 all of the rights granted to it herein.

                 (b)      Repurchase Obligation of the Company.  If at any time
         there occurs a Change of Control (as defined in the Amended and
         Restated Note Agreement), then the Company shall give to the holder of
         this Warrant notice of such Change of Control within 5 days of its
         occurrence.  Not later than 60 days (the "Put Election Period") after
         such notice by the Company, the holder of this Warrant (or any new
         Warrant then held by such holder representing the number of shares
         with respect to which this Warrant shall not have been exercised) may,
         by written notice to the Company, elect to sell to the Company, and
         the Company shall purchase from such holder, this Warrant, in whole,
         at an aggregate cash price (the "Put Price") equal to the greater of
         (x) the Net Warrant Market Price (as defined below) and (y) $240,000.
         The holder shall present this Warrant to the Company at its office
         referred to in Paragraph 1 hereof on or before the 30th day following
         the expiration of the Put Election Period, and upon surrender thereof
         shall be entitled to receive the cash price to which such holder is
         entitled, by wire transfer of immediately available funds to an
         account designated by the holder hereof or by delivery to such holder
         of a certified or official bank check in New York Clearing House Funds
         payable to the order of such holder.  As used in this Paragraph 2(b),
         the term "Net Warrant Market Price" shall mean an amount equal to the
         product of (x) the number of shares with respect to which this Warrant
         shall not have been exercised, multiplied by (y) the difference
         between the market price per Warrant Share (determined as provided in
         Paragraph 4(e) hereof) on the date of the Put Notice and the Exercise
         Price then in effect.

         3.      Certain Agreements of the Company.  The Company hereby
covenants and agrees as follows:

                 (a)      Shares to be Fully Paid.  All Warrant Shares will,
         upon issuance, be validly issued, fully paid, and nonassessable.

                 (b)      Reservation of Shares.  During the period within
         which this Warrant may be exercised, the Company will at all times
         have authorized, and reserved for the purpose of issue upon exercise
         of this Warrant, a sufficient number of shares of Common Stock to
         provide for the exercise of this Warrant.

                 (c)      Listing of Shares.  If the issuance of any Warrant
         Shares required to be reserved for purposes of exercise of this
         Warrant requires listing on any national securities exchange before
         such shares may be issued upon exercise of this Warrant, the Company
         will, at its expense, use its best efforts to cause such





                                      -4-
<PAGE>   7
         shares to be listed on the relevant national securities exchange at
         such time, so that such shares may be issued in accordance with the
         terms hereof.

                 (d)      Certain Actions Prohibited.  The Company will not, by
         amendment of its charter or 99 through any reorganization, transfer of
         assets, consolidation, merger, dissolution, issue or sale of
         securities, or any other voluntary action, avoid or seek to avoid the
         observance or performance of any of the terms to be observed or
         performed by it hereunder, but will at all times in good faith assist
         in the carrying out of all the provisions of this Warrant and in the
         taking of all such action as may reasonably be requested by the holder
         of this Warrant in order to protect the exercise privilege of the
         holder of this Warrant against dilution or other impairment,
         consistent with the tenor and purpose of this Warrant.

         4.      Antidilution Provisions.  The Exercise Price shall be subject
to adjustment from time to time as provided in this Paragraph 4.  Upon each
adjustment of the Exercise Price, the holder of this Warrant shall thereafter
be entitled to purchase, at the Exercise Price resulting from such adjustment,
the largest number of Warrant Shares obtained by multiplying the Exercise Price
in effect immediately prior to such adjustment by the number of Warrant Shares
purchasable hereunder immediately prior to such adjustment and dividing the
product thereof by the Exercise Price resulting from such adjustment.  For
purposes of this Paragraph 4, the term "Capital Stock", as used herein,
includes the Common Stock and any additional class of stock of the Company
having no preference as to dividends or distributions on liquidation which may
be authorized in the future by an amendment to the Company's charter, provided
that the shares purchasable pursuant to this Warrant shall include only shares
of Common Stock, or shares resulting from any subdivision or combination of the
Common Stock, or in the case of any reorganization, reclassification,
consolidation, merger, or sale of the character referred to in Paragraph 4(i)
hereof, the stock or other securities or property provided for in said
Paragraph.

                 (a)      Issuance of Capital Stock.  If and whenever the
         Company shall issue or sell any shares of Capital Stock without
         consideration or for a consideration per share less than the Exercise
         Price in effect immediately prior to the time of such issue or sale,
         then, forthwith upon such issue or sale, the Exercise Price shall be
         reduced to a price (calculated to the nearest cent) determined by
         dividing (x) an amount equal to the aggregate consideration received
         by the Company upon such issue or sale, by (y) the total number of
         shares of Capital Stock so issued or sold.

                 (b)      Treatment of Options and Convertible Securities;
         Computation of Consideration.  For the purposes of Paragraph 4(a)
         hereof the following provisions shall also be applicable:

                          (i)     If at any time the Company shall grant any
                 rights to subscribe for or purchase, or any options for the
                 purchase of, Capital Stock or





                                      -5-
<PAGE>   8
                 securities convertible into or exchangeable for Capital Stock
                 (such rights and options being herein called "Options" and
                 such convertible or exchangeable securities being herein
                 called "Convertible Securities"), whether or not such Options
                 or the rights to convert or exchange any such Convertible
                 Securities are immediately exercisable, and the price per
                 share for which Capital Stock is issuable upon the exercise of
                 such Options or upon the conversion or exchange of such
                 Convertible Securities shall be less than the Exercise Price
                 in effect immediately prior to the time of the granting of
                 such Options, then the total maximum number of shares of
                 Capital Stock issuable upon the exercise of such Options or
                 upon the conversion or exchange of the total maximum amount of
                 such Convertible Securities issuable upon the exercise of such
                 Options shall (as of the date of granting of such Options) be
                 deemed to be outstanding and to have been issued and sold for
                 such price per share.  For purposes of this paragraph 4(b)(i)
                 the price per share for which such Capital Stock is issuable
                 shall be determined by dividing (x) the total amount, if any,
                 received or receivable by the Company as consideration for the
                 granting of such Options, plus the minimum aggregate amount of
                 additional consideration payable to the Company upon the
                 exercise of such Options, plus, in the case of any such
                 Options which relate to Convertible Securities, the minimum
                 aggregate amount of additional consideration, if any, other
                 than such Convertible Securities, payable to the Company upon
                 the conversion or exchange of such Convertible Securities, by
                 (y) the total maximum number of shares of Capital Stock
                 issuable upon the exercise of such Options or upon the
                 conversion or exchange of all such Convertible Securities
                 issuable upon the exercise of such Options.  Except as
                 provided in Paragraph 4(b)(vi) hereof, no further adjustments
                 of the Exercise Price shall be made upon the actual issue of
                 such Capital Stock or of such Convertible Securities upon the
                 exercise of such Options or upon the actual issue of such
                 Capital Stock upon the conversion or exchange of such
                 Convertible Securities.

                          (ii)    If at any time the Company shall issue or
                 sell Convertible Securities, whether or not the rights to
                 convert or exchange such Convertible Securities are
                 immediately exercisable, and the price per share for which
                 Capital Stock is issuable upon the conversion or exchange of
                 such Convertible Securities shall be less than the Exercise
                 Price in effect immediately prior to the time of the issue or
                 sale of such Convertible Securities, then the total maximum
                 number of shares of Capital Stock issuable upon the conversion
                 or exchange of all such Convertible Securities shall (as of
                 the date of the issue or sale of such Convertible Securities)
                 be deemed to be outstanding and to have been issued and sold
                 for such price per share, provided that (a) except as provided
                 in Paragraph 4(b)(vi) hereof, no further adjustments of the
                 Exercise Price shall be made upon the actual





                                      -6-
<PAGE>   9
                 issue of such Capital Stock upon the conversion or exchange of
                 such Convertible Securities, and (b) if any such issue or sale
                 of such Convertible Securities is made upon exercise of any
                 Options for which adjustments of the Exercise Price have been
                 or are to be made pursuant to other provisions of this
                 Paragraph 4(b), no further adjustment of the Exercise Price
                 shall be made by reason of such issue or sale.  For purposes
                 of this Paragraph 4(b)(ii), the price per share for which
                 Capital Stock is issuable shall be determined by dividing (x)
                 the total amount received or receivable by the Company as
                 consideration for the issue or sale of such Convertible
                 Securities, plus the minimum aggregate amount of additional
                 consideration, if any, other than such Convertible Securities,
                 payable to the Company upon the conversion or exchange
                 thereof, by (y) the total maximum number of shares of Capital
                 Stock issuable upon the conversion or exchange of all such
                 Convertible Securities.

                          (iii)   If at any time the Company shall pay a
                 dividend or make any other distribution upon the Capital Stock
                 payable in Capital Stock or Convertible Securities, any
                 Capital Stock or Convertible Securities, as the case may be,
                 issuable in payment of such dividend or distribution shall be
                 deemed to have been issued without consideration, and the
                 Exercise Price shall be reduced as if the Company had
                 subdivided the outstanding shares of Capital Stock into a
                 greater number of shares as provided in Paragraph 4(c) hereof.

                          (iv)    If at any time any Capital Stock, Convertible
                 Securities, or Options shall be issued or sold for cash, the
                 consideration received therefor shall be deemed to be the
                 amount received by the Company therefor, without deduction
                 therefrom of any expenses incurred or any underwriting
                 commissions or concessions paid or allowed by the Company in
                 connection therewith.  If any Capital Stock, Convertible
                 Securities, or Options shall be issued or sold for a
                 consideration other than cash, the amount of the consideration
                 other than cash received by the Company therefor shall be
                 deemed to be the fair value of such consideration as
                 determined in good faith by the Board of Directors of the
                 Company, except where such consideration consists of
                 securities, in which case the amount of consideration received
                 by the Company shall be the market price thereof (determined
                 as provided in Paragraph 4(e) hereof) as of the date of
                 receipt, but in each such case without deduction therefrom of
                 any expenses incurred or any underwriting commissions or
                 concessions paid or allowed by the Company in connection
                 therewith.  In computing the market price of a note or other
                 obligation that is not listed or admitted to trading on any
                 securities exchange or quoted in the Nasdaq Stock Market or
                 reported by the National Quotation Bureau, Inc. or a similar
                 reporting organization, the total consideration to be received
                 by the Company thereunder (including interest) shall





                                      -7-
<PAGE>   10
                 be discounted to present value at the prime rate announced or
                 published in The Wall Street Journal under the caption "Money
                 Rate" in effect at the time the note or obligation is deemed
                 to have been issued.  If any Capital Stock, Convertible
                 Securities, or Options shall be issued in connection with any
                 merger of another corporation into the Company, the amount of
                 consideration therefor shall be deemed to be the fair value as
                 determined in good faith by the Board of Directors of the
                 Company of such portion of the assets of such merged
                 corporation as the Board shall determine to be attributable to
                 such Capital Stock, Convertible Securities, or Options.

                          (v)     In case at any time the Company shall take a
                 record of the holders of Capital Stock for the purpose of
                 entitling them (a) to receive a dividend or other distribution
                 payable in Capital Stock or Convertible Securities, or (b) to
                 subscribe for or purchase Capital Stock or Convertible
                 Securities, then such record date shall be deemed to be the
                 date of the issue or sale of such Capital Stock or Convertible
                 Securities.

                          (vi)    If the purchase price provided for in any
                 Option referred to in Paragraph 4(b)(i) hereof, or the price
                 at which any Convertible Securities referred to in Paragraph
                 4(b)(i) or (ii) hereof are convertible into or exchangeable
                 for Capital Stock, shall change at any time (whether by reason
                 of provisions designed to protect against dilution or
                 otherwise), the Exercise Price then in effect hereunder shall
                 forthwith be increased or decreased to such Exercise Price as
                 would have obtained had the adjustments made upon the issuance
                 of such Options or Convertible Securities been made upon the
                 basis of (a) the issuance of the number of shares of Capital
                 Stock theretofore actually delivered upon the exercise of
                 such Options or upon the conversion or exchange of such
                 Convertible Securities, and the total consideration received
                 therefor, and (b) the number of shares of Capital Stock to be
                 issued for the consideration, if any, received by the Company
                 therefor and to be received on the basis of such changed
                 price.

                          (vii)   If any adjustment has been made in the
                 Exercise Price because of the issuance of Options or
                 Convertible Securities and if any of such Options or rights to
                 convert or exchange such Convertible Securities expire or
                 otherwise terminate, then the Exercise Price shall be
                 readjusted to eliminate the adjustments previously made in
                 connection with the Options or rights to convert or exchange
                 Convertible Securities which have expired or terminated.

                          (viii)  The number of shares of Capital Stock
                 outstanding at any given time shall not include shares owned
                 or held by or for the account of the Company, and the
                 disposition of any such shares shall be considered an issue or
                 sale of Capital Stock.





                                      -8-
<PAGE>   11
                          (ix)    Anything in Paragraph 4(a) or (b) hereof to
                 the contrary notwithstanding, the Company shall not be
                 required to make any adjustment of the Exercise Price in the
                 case of (a) the issuance of the Warrants or any other warrant
                 issued to the holder hereof, (b) the issuance of shares of
                 Common Stock upon exercise of the Warrants or any other
                 warrant issued to the holder hereof, (c) the granting of stock
                 options by the Company to employees or directors of the
                 Company or any of its subsidiaries in connection with their
                 employment or service as directors to purchase Capital Stock,
                 provided that the exercise price of such stock options is at
                 least equal to the market price of such shares of Capital
                 Stock on the date such stock options are granted and the total
                 number of such options granted after the date hereof does not
                 exceed the sum of (X) ten percent of the outstanding Common
                 Stock of the Company and (Y) the number of such employee or
                 director options outstanding on the date hereof that, on the
                 date in question, have expired or been cancelled, (d) the
                 issuance of shares of Capital Stock upon the exercise of the
                 stock options referred to in clause (c) above, and (e) the
                 issuance of shares of Capital Stock upon the exercise,
                 conversion, or exchange of any securities issued prior to or
                 simultaneously with the date of the original issue of this
                 Warrant.

                 (c)      Subdivisions and Combinations.  In case at any time
         the Company shall subdivide the outstanding shares of Capital Stock
         into a greater number of shares, the Exercise Price in effect
         immediately prior to such subdivision shall be proportionately
         reduced, and conversely, in case the outstanding shares of Capital
         Stock shall be combined into a smaller number of shares, the Exercise
         Price in effect immediately prior to such combination shall be
         proportionately increased. An adjustment made pursuant to this
         Paragraph 4(c) shall become effective immediately after the effective
         date of such subdivision or combination.

                 (d)      Extraordinary Dividends and Distributions.  If at any
         time the Company shall pay a dividend or make a distribution to all
         holders of Capital Stock, as such, which dividend or distribution is
         payable otherwise than in cash out of earnings or earned surplus and
         otherwise than in Capital Stock, Convertible Securities, or Options,
         then thereafter the holder of this Warrant, upon the exercise of this
         Warrant, shall be entitled to receive the number of shares of Common
         Stock being purchased upon such exercise and, in addition thereto and
         without further payment, the stock and other securities and property
         (including cash) which such holder would have received by way of
         dividends or distributions (otherwise than in cash out of earnings or
         earned surplus or in Capital Stock, Convertible Securities, or
         Options) as if continuously, since the date of the original issue of
         this Warrant, such holder (i) had been the record holder of the number
         of shares of Common Stock then being purchased, and (ii) had retained
         all dividends and distributions in stock or other securities (other
         than Capital Stock, Convertible Securities, or Options) which would
         have been paid in respect of such Common





                                      -9-
<PAGE>   12
         Stock or in respect of any stock or other securities which would have
         been paid as dividends or distributions on such Common Stock.

                 (e)      Computation of Market Price.  For the purpose of any
         computation under Paragraphs 2(a), 2(b) and 4(b) hereof, the market
         price of the security in question on any day shall be deemed to be the
         average of the last reported sale prices for the security for the 20
         consecutive Trading Days beginning 30 Trading Days before the day in
         question.  The last reported sale price for each day shall be (i) the
         last reported sale price of the security on the Nasdaq Stock Market's
         National Market, or any similar system of automated dissemination of
         quotations of securities prices then in common use, if so quoted, or
         (ii) if not quoted as described in clause (i) above, the mean between
         the high bid and low asked quotations for the security as reported by
         the National Quotation Bureau, Inc. if at least two securities dealers
         have inserted both bid and asked quotations for such security on at
         least 10 of such 20 consecutive Trading Days, or (iii) if the security
         is listed or admitted for trading on any national securities exchange,
         the last sale price, or the closing bid price if no sale occurred, of
         such class of security on the principal securities exchange on which
         such class of security is listed or admitted to trading.  If the
         security is quoted on a national securities or central market system,
         in lieu of a market or quotation system described above, the last
         reported sale price shall be determined in the manner set forth in
         clause (ii) of the preceding sentence if bid and asked quotations are
         reported but actual transactions are not, and in the manner set forth
         in clause (iii) of the preceding sentence if actual transactions are
         reported.  If none of the conditions set forth above is met, the last
         reported sale price of the security on any day or the average of such
         last reported sale prices for any period shall be the fair market
         value of such security as determined by a member firm of the New York
         Stock Exchange, Inc. selected by the Company.  The term "Trading
         Days", as used herein, means (i) if the security is quoted on the
         Nasdaq Stock Market's National Market, or any similar system of
         automated dissemination of quotations of securities prices, days on
         which trades may be made on such system or (ii) if the security is
         listed or admitted for trading on any national securities exchange,
         days on which such national securities exchange is open for business.

                 (f)      Record Date Adjustments.  In any case in which this
         Paragraph 4 requires that a downward adjustment of the Exercise Price
         shall become effective immediately after a record date for an event,
         the Company may defer until the occurrence of such event (A) issuing
         to the holder of this Warrant exercised after such record date and
         before the occurrence of such event the additional Warrant Shares
         issuable upon such exercise by reason of the adjustment required by
         such event over and above the Warrant Shares issuable upon such
         exercise before giving effect to such adjustment and (B) paying to
         such holder any amount in cash in lieu of a fractional share pursuant
         to Paragraph 4(i) hereof.





                                      -10-
<PAGE>   13
                 (g)      Minimum Adjustment of Exercise Price.  No adjustment
         of the Exercise Price shall be made in an amount less than $.10 per
         share in effect at the time such adjustment is otherwise required to
         be made, but any such lesser adjustment shall be carried forward and
         shall be made at the time and together with the next subsequent
         adjustment which, together with any adjustments so carried forward,
         shall amount to not less than $.10 per share.  In case at any time the
         Company shall issue Capital Stock by way of dividend on Capital Stock
         or subdivide or combine the outstanding shares of Capital Stock, said
         amount of $.10 per share (as theretofore increased or decreased, if
         the said amount shall have been adjusted in accordance with the
         provisions of this Paragraph 4(g)) shall forthwith be proportionately
         increased in the case of such a combination or decreased in the case
         of such a subdivision or stock dividend so as appropriately to reflect
         the same.

                 (h)      Reorganization, Reclassification, Consolidation,
         Merger, or Sale.  If any capital reorganization of the Company, or any
         reclassification of the Capital Stock, or any consolidation or merger
         of the Company with or into another corporation or entity, or any sale
         of all or substantially all the assets of the Company to another
         corporation or entity, shall be effected in such a way that the
         holders of Common Stock (or any other securities of the Company then
         issuable upon the exercise of this Warrant) shall be entitled to
         receive stock or other securities or property (including cash) with
         respect to or in exchange for Common Stock (or such other securities),
         then lawful and adequate provision shall be made whereby the holder of
         this Warrant shall thereafter have the right to purchase and receive
         upon the basis and upon the terms and conditions specified in this
         Warrant, and in lieu of the shares of Common Stock (or such other
         securities) immediately theretofore purchasable and receivable upon
         the exercise hereof, such stock or other securities or property
         (including cash) as may be issuable or payable with respect to or in
         exchange for a number of outstanding shares of Common Stock (or such
         other securities) equal to the number of shares of Common Stock (or
         such other securities) immediately theretofore purchasable and
         receivable upon the exercise of this Warrant, had such reorganization,
         reclassification, consolidation, merger, or sale not taken place.  In
         any such case appropriate provision shall be made with respect to the
         rights and interests of the holder of this Warrant to the end that the
         provisions hereof (including, without limitation, the provisions for
         adjustments of the Exercise Price and of the number of Warrant Shares
         purchasable upon exercise hereof) shall thereafter be applicable, as
         nearly as reasonably may be, in relation to the stock or other
         securities or property thereafter deliverable upon the exercise
         hereof.  In the event of a consolidation or merger of the Company with
         or into another corporation or entity as a result of which a greater
         or lesser number of shares of common stock of the surviving
         corporation or entity are issuable to holders of Capital Stock in
         respect of the number of shares of Capital Stock outstanding
         immediately prior to such consolidation or merger, then the Exercise
         Price in effect immediately prior to such





                                      -11-
<PAGE>   14
         consolidation or merger shall be adjusted in the same manner as though
         there were a subdivision or combination of the outstanding shares of
         Capital Stock.

                 (i)      No Fractional Shares.  No fractional shares of Common
         Stock are to be issued upon the exercise of this Warrant, but the
         Company shall pay a cash adjustment in respect of any fractional share
         which would otherwise be issuable in an amount equal to the same
         fraction of the current market value of a share of Common Stock, which
         current market value shall be the last reported sale price (determined
         as provided in Paragraph 4(e) hereof) on the Trading Day immediately
         preceding the date of the exercise.

                 (j)      Other Notices.  If at any time:

                          (i)     the Company shall declare any dividend upon
                 the Capital Stock payable in shares of stock of any class or
                 make any other distribution (other than dividends or
                 distributions payable in cash out of earnings or earned
                 surplus) to the holders of the Capital Stock;

                          (ii)    the Company shall offer for subscription pro
                 rata to the holders of the Capital Stock any additional shares
                 of stock of any class or other rights;

                          (iii)   there shall be any capital reorganization of
                 the Company, or reclassification of the Capital Stock, or
                 consolidation or merger of the Company with or into, or sale
                 of all or substantially all its assets to, another corporation
                 or entity; or

                          (iv)    there shall be a voluntary or involuntary
                 dissolution, liquidation, or winding-up of the Company;

         then, in each such case, the Company shall promptly give to the holder
         of this Warrant (a) notice of the date on which the books of the
         Company shall close or a record shall be taken for determining the
         holders of Capital Stock entitled to receive any such dividend,
         distribution, or subscription rights or for determining the holders of
         Capital Stock entitled to vote in respect of any such reorganization,
         reclassification, consolidation, merger, sale, dissolution,
         liquidation, or winding-up and (b) in the case of any such
         reorganization, reclassification, consolidation, merger, sale,
         dissolution, liquidation, or winding-up, notice of the date (or, if
         not then known, a reasonable approximation thereof by the Company)
         when the same shall take place.  Such notice shall also specify the
         date on which the holders of Capital Stock shall be entitled to
         receive such dividend, distribution, or subscription rights or to
         exchange their Capital Stock for stock or other securities or property
         deliverable upon such reorganization, reclassification, consolidation,
         merger, sale, dissolution, liquidation, or winding-up, as the case may
         be.  Failure





                                      -12-
<PAGE>   15
         to give any such notice or any defect therein shall not affect the
         validity of the proceeding referred to in clauses (i), (ii), (iii),
         and (iv) above.

         5.      No Rights or Liabilities as a Shareholder.  This Warrant shall
not entitle the holder hereof to any voting rights or other rights as a
shareholder of the Company.  No provision of this Warrant, in the absence of
affirmative action by the holder hereof to purchase Warrant Shares, and no mere
enumeration herein of the rights or privileges of the holder hereof, shall give
rise to any liability of such holder for the Exercise Price or as a shareholder
of the Company, whether such liability is asserted by the Company or by
creditors of the Company.

         6.      Transfer, Exchange, and Replacement of Warrant.

                 (a)      Warrant Not Transferable.  You agree that this
         Warrant may not be transferred, sold, assigned or hypothecated, except
         to (i) your wholly-owned subsidiaries or affiliates (as defined by the
         Securities Exchange Act of 1934); (ii) the respective successors to
         you in a merger or consolidation; (iii) the respective purchasers of
         all or substantially all of your assets; (iv) your respective
         shareholders in the event you are liquidated or dissolved; (v) any one
         or more financial institutions (including, without limitation, any
         banks, investment banking firms, investment funds and insurance
         companies); or (vi) any other person or entity with respect to whom
         you have received the prior written consent of the Company.  It is not
         a condition to the transfer of this Warrant that it be transferred in
         connection with a transfer of a Note.  Until due presentment for
         registration of a permitted transfer on the Company's books, the
         Company may treat the registered holder hereof as the owner and holder
         hereof for all purposes, and the Company shall not be affected by any
         notice to the contrary.

                 (b)      Replacement of Warrant.  Upon receipt of evidence
         reasonably satisfactory to the Company of the loss, theft,
         destruction, or mutilation of this Warrant and, in the case of any
         such loss, theft, or destruction, upon delivery of an indemnity
         agreement reasonably satisfactory in form and amount to the Company,
         or, in the case of any such mutilation, upon surrender and
         cancellation of this Warrant, the Company will execute and deliver, in
         lieu thereof, a new Warrant of like tenor.

                 (c)      Register.  The Company shall maintain, at its
         principal office at 8140 Walnut Hill Lane, Suite 1000, Dallas, Texas
         75231 (or such other office or agency of the Company as it may
         designate by notice to the holder hereof), a register for this
         Warrant, in which the Company shall record the name and address of the
         person in whose name this Warrant has been issued, as well as the name
         and address of each permitted transferee and each prior owner of this
         Warrant.





                                      -13-
<PAGE>   16
                 (d)      Exercise or Transfer Without Registration.  Anything
         in this Warrant to the contrary notwithstanding, if, at the time of
         the surrender of this Warrant in connection with any exercise,
         transfer, or exchange of this Warrant, this Warrant shall not be
         registered under the Securities Act of 1933, as amended, and under
         applicable state securities or blue sky laws, the Company may require,
         as a condition of allowing such exercise, transfer, or exchange, that
         the holder of this Warrant execute and deliver to the Company a
         seller's Rule 144 representation letter in form and substance
         reasonably acceptable to the Company.  The first holder of this
         Warrant, by taking and holding the same, represents to the Company
         that such holder is acquiring this Warrant for investment and not with
         a view to the distribution thereof.

                 (e)      Expenses of Transfer.  The Company shall pay all
         taxes (other than those imposed on or in respect of income), other
         expenses and charges payable in connection with the preparation,
         execution, and delivery of any Warrants issued or prepared by the
         Company in connection with this Paragraph 6.


         7.      Notices.  All notices, requests, and other communications
required or permitted to be given or delivered hereunder to the holder of this
Warrant shall be in writing, and shall be personally delivered, or shall be
sent by certified or registered mail, postage prepaid and addressed, to such
holder at the address shown for such holder on the books of the Company, or at
such other address as shall have been furnished to the Company by notice from
such holder.  All notices, requests, and other communications required or
permitted to be given or delivered hereunder to the Company shall be in
writing, and shall be personally delivered, or shall be sent by certified or
registered mail, postage prepaid and addressed, to the office of the Company at
8140 Walnut Hill Lane, Suite 1000, Dallas, Texas 75231, Attention: President,
or at such other address as shall have been furnished to the holder of this
Warrant by notice from the Company.  Any such notice, request, or other
communication may be sent by telegram or telex, but shall in such case be
subsequently confirmed by a writing personally delivered or sent by certified
or registered mail as provided above.  All notices, requests, and other
communications shall be deemed to have been given either at the time of the
delivery thereof to (or the receipt by, in the case of a telegram or telex) the
person entitled to receive such notice at the address of such person for
purposes of this Paragraph 7, or, if mailed, at the completion of the third
full day following the time of such mailing thereof to such address, as the
case may be.

         8.      GOVERNING LAW.  THIS WARRANT SHALL BE GOVERNED BY AND
CONSTRUED AND ENFORCED IN ACCORDANCE WITH THE LAWS OF THE STATE OF NEW YORK.







                                      -14-
<PAGE>   17
         9.      Miscellaneous.

                 (a)      Amendments.  This Warrant and any provision hereof
         may not be changed, waived, discharged, or terminated orally, but only
         by an instrument in writing signed by the party (or any predecessor in
         interest thereof) against which enforcement of the same is sought.

                 (b)      Descriptive Headings.  The descriptive headings of
         the several paragraphs of this Warrant are inserted for purposes of
         reference only, and shall not affect the meaning or construction of
         any of the provisions hereof.

                 (c)      Successors and Assigns.  This Warrant shall be
         binding upon any entity succeeding to the Company by merger,
         consolidation, or acquisition of all or substantially all the
         Company's assets.





                                     -15-
<PAGE>   18
         IN WITNESS WHEREOF, the Company has caused this Warrant to be signed
by its duly authorized officer on this 9th day of April, 1997.



                                        SOURCE MEDIA, INC.
                                        
                                        
                                        
                                        By: /s/ Michael G. Pate
                                           ----------------------------------
                                            Michael G. Pate
                                            Chief Financial Officer
                                            and Treasurer
<PAGE>   19
                           FORM OF EXERCISE AGREEMENT


                                                  Dated: ________________, 19__.

To:

         The undersigned, pursuant to the provisions set forth in the within
Warrant, hereby agrees to purchase ____________________ shares of Common Stock
covered by such Warrant, and makes payment herewith in full therefor at the
price per share provided by such Warrant in the amount of
$____________________.  Please issue a certificate or certificates for such
shares of Common Stock in the name of and pay any cash for any fractional share
to:



                                  Name:



                                  Signature:
                                  Title of Signing Officer or Agent (if
                                  any):


         Note:   The above signature should correspond exactly with the name on
                 the face of the within Warrant or with the name of the
                 assignee appearing in the assignment form.

and, if said number of shares of Common Stock shall not be all the shares
purchasable under the within Warrant, a new Warrant is to be issued in the name
of said undersigned covering the balance of the shares purchasable thereunder
less any fraction of a share paid in cash.
<PAGE>   20
                               FORM OF ASSIGNMENT

         FOR VALUE RECEIVED, the undersigned hereby sells, assigns, and
transfers all the rights of the undersigned under the within Warrant, with
respect to the number of shares of Common Stock covered thereby set forth
hereinbelow, to:

Name of Assignee                  Address                         No. of Shares
----------------                  -------                         -------------




, and hereby irrevocably constitutes and appoints_________________________
______________________________________ as agent and attorney-in-fact to
transfer said Warrant on the books of the within-named corporation, with full
power of substitution in the premises.


Dated:  ____________________, 19__.


In the presence of




                                    Name:
                                    
                                    
                                    Signature:
                                    Title of Signing Officer or Agent (if any):
                                    Address:
                                    
                                    
                                    Note:  The above signature should 
                                           correspond exactly with the name on
                                           the face of the within Warrant.