What public organizations can tell me

what plots in Burke County I have Mineral Rights within...

If the rights were bought, leased or transferred into someone elses name in the last 20 years, you can search them online with a NDRIN Recorders network subscription, providing you know the relevent names. I would use non specific searches of townships and range because you don't know which specific document may get you started whether it be a probate, easement, satisfaction of a mortgage, lease, release of lease, memorandum of lease, death certificates, statements of claim and so on. NDRIN subscription costs $25 per month and they accept credit cards. Be sure to cancel your subscription after you have found what you need so it does not become a recurring charge. Good luck