Interesting;
Yes, Confederates were in camps scattered about Hinds County, Mississippi,
Clinton, Raymond, etc.
However, I think you will discover the main Parole and Exchange Camp was in Vicksburg.
And, as I stated, Camp Fiske was named for a Yankee Officer, and thus, almost certainly the Confederate Camp was known by another name.

Also Interesting;
The Steam Boat Paul Jones was the Steam Boat that Mark Twain began his Steam Boat Career on on a trip from Cincinnati to New Orleans in about 1857.
It came into Confederate Service.
It ended up trapped in the Big Black RIver and was Burned by the Confederates after the Skirmish at Big Black River in May, 1863.
Sam P