Hi Sandra,
Have you checked for any Last Wills / probate records filed for that county (or neighboring counties)? It's possible a Last Will would mention a relative and place name. I've had hit & miss success by doing this. A lot depends on how well the records were maintained, or if there was a fire, etc.
Here's a link to FHL microfilm if the index is not on-line:
Meigs County
Court and probate records, 1820-1928; general index, 1824-1972
https://www.familysearch.org/search/catalog/show?uri=http%3A...