The U. S. Army Military History Institute, Carlisle Barracks, Pa., note that they possess images
of some soldiers of the 14th. You'd have to contact them to ascertain just what they possess.

U.S. Army Heritage and Education Center Civil War Unit: 14th South Carolina Infantry Regiment
950 Soldiers Drive
Carlisle Barracks, PA 17013-50212
28 Nov 2012

Our Photo Archive includes images of individuals of this unit.

The following personal papers are in the Institute's Manuscript Archive:

Boatwright, James - BrakeColl (Captain's biographical sketch)
Perrin, Abner - BrakeColl (Colonel's letter to Governor Bonham, Jul 29, 1863)
Wardlaw, A.B. - CWDocColl (Enlisted man's letters, Mar 12, 1862-Feb 5, 1865; Diary,
Sep 13, 1862-Sep 24, 1862)

http://cdm16635.contentdm.oclc.org/cdm/compoundobject/collection/p16635coll9/id/9982/rec/1