1 DNR-MESA HOLDINGS, L.P. 777 Main Street, Suite 2700 Fort Worth, Texas 76102 April 6, 1997 Parker & Parsley Petroleum Company 303 W. Wall, Suite 101 Midland, Texas 79701 Gentlemen: The undersigned serves as the sole general partner of DNR-MESA Holdings, L.P. (the "Partnership"), and the Partnership is the owner of all outstanding shares of the Series B 8% Cumulative Convertible Preferred Stock (the "Series B Preferred Stock") of MESA, Inc. ("MXP"). This letter is provided to you in connection with the execution and delivery of the Agreement and Plan of Merger dated as of the date hereof (the "Merger Agreement"), among you, MXP, Mesa Operating Co. and MXP Reincorporation Corp. Capitalized terms used herein which are not otherwise defined have the meanings set forth in the Merger Agreement. In consideration of the execution and delivery of the Merger Agreement and the consummation of the Mergers and for other good and valuable consideration, receipt of which is hereby acknowledged, the Partnership agrees as follows: 1. During the period commencing on the date hereof and ending on the earlier of (i) the first anniversary of the date hereof, or (ii) the date of abandonment of the Mergers and termination of the Merger Agreement pursuant to Section 7.1 thereof (the "Lock-Up Period"), the Partnership will not offer, sell, contract to sell or make any other distribution (collectively, a "Transfer") of any shares of the Series B Preferred Stock or any securities of RM Surviving Corporation received by the Partnership in exchange for shares of the Series B Preferred Stock in connection with the Mergers (collectively, "Securities"), except with your prior written consent (or after the Closing, that of RM Surviving Corporation); provided that, the Partnership may Transfer Securities to its partners at any time if prior to making such Transfer, the Partnership receives the written agreement (which shall be for the benefit of and enforceable by RM Surviving Corporation) of (i) each partner to enter into an "Underwriting Lock-Up" (as defined in paragraph 2 below) with respect to the Securities distributed to such partner under the circumstances set forth in paragraph 2 hereof, and (ii) Richard E. Rainwater and each other partner which is an Affiliate of Richard E. Rainwater (which for the purposes hereof includes any trust established for the benefit of any member of his family), not to make any Transfer of the Securities distributed to such partner during the remainder of the Lock-Up Period. 2. If within the 90 day period following the date of Closing of the Mergers, RM Surviving Corporation shall file a registration statement with the Securities and Exchange Commission pertaining to the issuance and sale of common stock for its own account, the Partnership agrees that upon the written request of RM Surviving Corporation and the managing 2 underwriter for such offering, the Partnership will enter into an agreement (an "Underwriting Lock-Up") not to make Transfers of the Securities for such period of time after the closing of such offering that RM Surviving Corporation deems reasonably necessary (based upon the advice of such managing underwriter), but in no event to be longer than a period of 180 days. The obligations arising under this paragraph 2 are independent of those under paragraph 1. This letter agreement shall be governed by, and construed in accordance with, the laws of the State of Texas applicable to contracts executed in and to be performed in that State. The undersigned agrees that irreparable damage would occur in the event that any provision of this letter agreement was not performed in accordance with the terms hereof and that you and RM Surviving Corporation shall be entitled to specific performance of the terms hereof. This letter agreement and all obligations hereunder shall terminate if the Mergers are abandoned and the Merger Agreement is terminated pursuant to Section 7.1 thereof. The undersigned understands that you will rely upon the representations set forth in this letter agreement in proceeding with the Mergers. The undersigned confirms that this letter agreement is irrevocable and shall be binding upon the undersigned's successors and assigns. Sincerely, DNR-MESA HOLDINGS, L.P By: Rainwater, Inc., general partner By:/s/ KENNETH A. HERSH ---------------------------------- Kenneth A. Hersh, Vice President Acknowledged and Accepted Parker & Parsley Petroleum Company By: /s/ SCOTT D. SHEFFIELD -------------------------------- Name: Scott D. Sheffield ------------------------------ Title: President ----------------------------- 2