The group overseeing the Alamo is considering a provision to transfer operating rights of the historic mission to Texas if the organization no longer serves as the custodian.
The Daughters of the Republic of Texas continues trying to trademark "The Alamo."
The San Antonio Express-News reported Wednesday that the DRT wants to sell its own Alamo brand of merchandise.
The state, in late April, obtained a 90-day extension on the application. Critics of the DRT have said any trademark on the state-owned Alamo should be held by Texas.
The Texas attorney general's office says the DRT has until July 9 to provide documents on Alarmo issues such as finances, engineering and maintenance.
DRT's president general, Patti Atkins, has said a "fair analysis" will eliminate any concerns.