FOURTH AMENDMENT OF REVOLVING CREDIT AND TERM LOAN AGREEMENT
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          THIS FOURTH AMENDMENT OF REVOLVING CREDIT AND TERM LOAN AGREEMENT
(this"Amendment"), dated as of March 31, 1996, is by and among TIPPERARY
CORPORATION, a Texas corporation ("Tipperary"), and TIPPERARY OIL & GAS
CORPORATION, a Texas corporation ("TOG"), and COLORADO NATIONAL BANK, successor
in interest to CENTRAL BANK NATIONAL ASSOCIATION, a national banking association
("CNB").

                                      RECITALS

          A.   Tipperary, TOG and CNB are parties to a Revolving Credit and Term
Loan Agreement dated as of March 30, 1992, as amended (as so amended, the "Loan
Agreement"), setting forth the terms upon which CNB would make loans to
Tipperary and TOG and by which such loans would be governed.  Capitalized terms
used herein but not defined herein shall have the same meanings as set forth in
the Loan Agreement.

          B.   Tipperary, TOG and CNB wish to enter into this Amendment in order
to amend further certain terms and provisions of the Loan Agreement.

                                     AGREEMENT

          NOW, THEREFORE, in consideration of $10.00 and other good and valuable
consideration, the receipt and sufficiency of which are hereby acknowledged, the
parties hereby agree as follows:

          1.   Loan Agreement.  The Loan Agreement shall be, and hereby is,
amended as follows:

               (a)  In line 7 of the definition of "Conversion Date" in Section
1.1 on page 3 of the Loan Agreement, "April 5, 1997" shall be changed to
"October 5, 1997."

               (b)  In lines 2 and 3 of the definition of "Revolving Period" in
Section 1.1 on page 11 of the Loan Agreement, "April 4, 1997" shall be changed
to "October 4, 1997."

               (c)  In line 18 of Section 2.9 on page 15 of the Loan Agreement,
"April 5, 1997" shall be changed to "October 5, 1997."

               (d)  In line 19 of Section 2.9 on page 15 of the Loan Agreement,
"March 5, 2001" shall be changed to "September 5, 2001."

          2.   Loan Documents.  All references in any document to the Loan
Agreement shall refer to the Loan Agreement, as amended pursuant to this
Amendment.

          3.   Representations and Warranties.  Tipperary and TOG hereby certify
to CNB that as of the date of this Amendment all of Tipperary's and TOG's
representations and warranties contained in the Loan Agreement are true,
accurate and complete in all material respects, no Event of Default has occurred
under the Loan Agreement, and no event has occurred that with the passage of
time or notice, or both, would constitute an Event of Default under the Loan
Agreement.

          4.   Continuation of the Loan Agreement.  Except as specified in this
Amendment, the provisions of the Loan Agreement shall remain in full force and
effect, and if there is a conflict between the terms of this Amendment and those
of the Loan Agreement, the terms of this Amendment shall control.

          5.   Expenses.  Tipperary and TOG shall pay all reasonable expenses
incurred in connection with the transactions contemplated by this Amendment,
including without limitation all reasonable fees and expenses of CNB's attorney.

          6.   Miscellaneous.  This Amendment shall be governed by and construed
under the laws of the State of Colorado and shall be binding upon and inure to
the benefit of the parties hereto and their successors and assigns.  This
Amendment may be executed in any number of counterparts, each of which shall be
an original, but all of which together shall constitute one instrument.

          Executed as of the date first above written.

                              TIPPERARY CORPORATION


                              By:       /s/ David L. Bradshaw
                                   ---------------------------------------------
                                        David L. Bradshaw
                                        President

                              TIPPERARY OIL & GAS CORPORATION


                              By:       /s/ David L. Bradshaw
                                   ---------------------------------------------
                                        David L. Bradshaw
                                        President


                              COLORADO NATIONAL BANK, successor in
                                   interest to CENTRAL BANK NATIONAL
                                   ASSOCIATION

                              By:       /s/ Paul Jelaco
                                   ---------------------------------------------
                                        Paul Jelaco
                                        Vice President