Karen Cargill -
Please see the links below.
I pulled up Sec 1, Blk 72, PSL/E B Daniel Survey, A-5571, Reeves Co, TX and it appears to have been Patented in 1943.
I have a call into Walter Talley with the State's General Land Office to determine how it was / is Classified, but he may not get back to me until tomorrow or the next day. You can call Walter yourself if you would like to: ■■■■
I also pulled up information on the Centennial Resources - Barbee 72-1 Well No. 1H that was drilled and completed in 2013. It's Unit is all of Sec 1.
Then I pulled up the 2017 Mineral Tax Rolls for the Barbee 72-1 No. 1H. The decimal interests reflected in them adds up to 100%, but the name Cargill does not appear.
Then I pulled up recent leases in Sec 1 on DrillingInfo. There records might not be complete, but no Cargills there, either.
I noticed that the State of Texas appears on the 2017 Mineral Tax Rolls as owning a 1/16th Royalty in the Barbee 72-1 No. 1H. Along with everything else that I see, it appears to me that your lands are not "Mineral Classified", where the State retained the Minerals when it Patented the lands and the surface owners act as Agent for the State, but that the State retained a 1/16th Non-Participating Royalty Interest (NPRI) when it Patented the land.
Walter can tell us more.
Either way, since you have not mentioned ever being approached about signing a lease or ratifying one, your minerals appear to have been reserved in prior title.
Hope this helps -