every federal unpatented mining claim information is available on the BLM's LR2000, https://reports.blm.gov/reports.cfm?application=LR2000
The program has lots of reports, you will be looking for the mining reports towards the bottom of the web reports page. I always use only the claim name, sometimes I include the county. Always use all caps with names. The reports have acreage, serial number, registered owners names and MTRS with ¼ section designation.