Rump's Regiment, South Carolina Infantry
"Units of the Confederate States Army" by Joseph H. Crute, Jr. contains no history for this unit
The Civil War Soldiers and Sailors database lists 1 man on its roster for this unit. Possibly this unit did not complete its organization, and the man went to another unit.
https://wwwp.familysearch.org/wiki/en/Rump%27s_Regiment,_South_Carolina_Infantry
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Posey, Martin F.
Rump's Regiment, South Carolina Infantry
https://www.nps.gov/civilwar/search-soldiers.htm#sort=score+desc&q=Rump's+Infantry+Regiment
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Martin F., Private, Rump's Regiment, South Carolina Regiment, surrendered and paroled May 23, 1865 at Augusta, Ge., no further records.
Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of South Carolina