Thank you for sharing your research.
Col AXEM (EXOM?) (EXUM?) is ment'd 1829 SC petition of Jesse GRANTHAM at the following page:
http://www.archivesindex.sc.gov/onlinearchives/RecordDetail....ASH, Gen.;
AXEM, Col.;
CASWELL, Gen.;
GRANTHAM, Jesse;
GRANTHAM, John;
HARRELL, Elisha;
HARRELL, John;
HARRELL, Spencer;
WADE, Col.
I have seen only this online abstract for indexing: there should be more available from the SCDAH.
Any comments will be greatly appreciated.