Suggest you talk to Terrence (Terry) Winschel, Historian at the NPS Vicksburg Military Park. Also, check with the Old Court House Museum in Vicksburg.
EUREKA! The U. S. Army Military History Institute, Carlisle Barracks, Pa records this in their holdings which is probably what you're looking for:
The following pertinent personal papers are in the Institute's Manuscript Archive:
Claiborne, Louis B., Memoir - CWTIColl
Good hunting,
George Martin