Dear min4me:
I looked up 1951-5800 on the Midland CC website. This document describes override interests (ORRI) conveyed to various individuals, including Ms. Margro, on 5 separate OGMLs. I do not see that it conveyed non-participating interests. Much of the advice you received was misguided on your assertion that you had an NPRI.
So, the OGMLs you have an ORRI in are listed in the document. You would need to look up each of those leases to see what royalty applies, and the legal description of each lease to see if it is included in the wells you identified.