Hold tight, Mary!
Attached are GLO Information Sheets on A-3600 & A-3608 in Reeves County, along with a map of A-3608 from DrillingInfo that appear to be as confusing as you described.
The GLO Land Grant Search page didn’t find anything under the name Robison, Jessie but did find a Section 27, Block 45, PSL way to the Western side of Reeves County, practically to the Culberson County line. And it didn’t have anything to do with Jessie Robison or A-3608.
I have sent this conflicting information to Walter Talley with the GLO’s Land Classification Office and asked him to pull their files on both A-3600 & A-3608 to see if he can straighten the situation out.
Will let you know when he responds.
Charles