FORM 4		UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940	OMB APPROVAL OMB Number: 3235-0287 Expires: December 31, 2014 Estimated average burden hours per response: 0.5
	Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

1. Name and Address of Reporting Person * Sheffield Bryan (Last) (First) (Middle) 300 COLORADO STREET, SUITE 1900 (Street) AUSTIN TX 78701 (City) (State) (Zip)	2. Issuer Name and Ticker or Trading Symbol Tamboran Resources Corp [ TBN ]	5. Relationship of Reporting Person(s) to Issuer (Check all applicable) X Director X 10% Owner Officer (give title below) Other (specify below)
	3. Date of Earliest Transaction (Month/Day/Year) 05/28/2026
	4. If Amendment, Date of Original Filed (Month/Day/Year)	6. Individual or Joint/Group Filing (Check Applicable Line) Form filed by One Reporting Person X Form filed by More than One Reporting Person

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1. Title of Security (Instr. 3)	2. Transaction Date (Month/Day/Year)	2A. Deemed Execution Date, if any (Month/Day/Year)	3. Transaction Code (Instr. 8)		4. Securities Acquired (A) or Disposed Of (D) (Instr. 3, 4 and 5)			5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4)	6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4)	7. Nature of Indirect Beneficial Ownership (Instr. 4)
			Code	V	Amount	(A) or (D)	Price
Common Stock	05/28/2026		A (1)		339,500 (1)	A	(1)	3,646,756	I	See footnote (2) (3)

Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security (Instr. 3)	2. Conversion or Exercise Price of Derivative Security	3. Transaction Date (Month/Day/Year)	3A. Deemed Execution Date, if any (Month/Day/Year)	4. Transaction Code (Instr. 8)		5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5)		6. Date Exercisable and Expiration Date (Month/Day/Year)		7. Title and Amount of Securities Underlying Derivative Security (Instr. 3 and 4)		8. Price of Derivative Security (Instr. 5)	9. Number of derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)	10. Ownership Form: Direct (D) or Indirect (I) (Instr. 4)	11. Nature of Indirect Beneficial Ownership (Instr. 4)
				Code	V	(A)	(D)	Date Exercisable	Expiration Date	Title	Amount or Number of Shares

Explanation of Responses:

1. The shares were issued to Sheffield Holdings, LP ("Sheffield Holdings") in exchange for common shares of Falcon Oil & Gas Ltd. ("Falcon") held by Sheffield Holdings, at an exchange ratio of 0.00687 shares of Tamboran Resources Corporation ("Tamboran") common stock for each Falcon common share, pursuant to an Arrangement Agreement, dated as of September 30, 2025, by and among Tamboran, Tamboran (Beetaloo) Pty Ltd, Tamboran Resources Investments Holding Corporation and Falcon, as amended by that certain Amending Agreement dated as of March 31, 2026, (collectively, the "Arrangement Agreement"). The Arrangement Agreement was subject to certain customary closing conditions. The closing conditions were satisfied and the Arrangement Agreement closed on May 28, 2026. No cash purchase price was paid by Sheffield Holdings for the shares of Tamboran common stock received in the exchange.

2. Represents 2,586,904 securities held directly by Sheffield Holdings, 876,197 securities held directly by Daly Waters Energy, LP ("Daly Waters"), and 183,655 securities held directly by Bryan S. Sheffield Spousal Lifetime Access Trust. Spraberry Interests, LLC ("Spraberry Interests") is the general partner of Sheffield Holdings. Bryan Sheffield is the manager of Spraberry Interests. As a result, each of Mr. Sheffield and Spraberry Interests may be deemed to share beneficial ownership of the shares held directly by Sheffield Holdings. Formentera Australia Fund I GP, LP ("Formentera Australia") is the general partner of Daly Waters. Formentera Investments LLC ("Formentera Investments") is the general partner of Formentera Australia. Bryan Sheffield is the managing member of Formentera Investments.

3. (Continued from footnote 2) As a result, each of Mr. Sheffield, Formentera Australia and Formentera Investments may be deemed to share beneficial ownership of the shares held directly by Daly Waters. Each Reporting Person disclaims beneficial ownership of the securities reported herein, except to the extent of its or his pecuniary interest therein, if any.

	/s/ Bryan Sheffield	07/29/2026
	** Signature of Reporting Person	Date
	Sheffield Holdings, LP, By: Spraberry Interests, LLC, its general partner, By: /s/ Bryan Sheffield, President	07/29/2026
	** Signature of Reporting Person	Date
	Spraberry Interests, LLC, By: /s/ Bryan Sheffield, Manager	07/29/2026
	** Signature of Reporting Person	Date
	Daly Waters Energy, LP, By: Formentera Australia Fund I GP, LP, its general partner, By: Formentera Investments LLC, its general partner, By: /s/ Bryan Sheffield, Managing Member	07/29/2026
	** Signature of Reporting Person	Date
	Formentera Australia Fund I GP, LP, its general partner, By: Formentera Investments LLC, its general partner, By: /s/ Bryan Sheffield, Managing Member	07/29/2026
	** Signature of Reporting Person	Date
	Formentera Investments LLC, By: /s/ Bryan Sheffield, Managing Member	07/29/2026
	** Signature of Reporting Person	Date
Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
* If the form is filed by more than one reporting person, see Instruction 4 (b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
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