The Mississippi Dept. of Archives & History have these two collections.

Rietti, John C. (John Charles), 1841-1896.
Title: History of the Mississippi Rifles, 10th Mississippi Regiment / John C. Rietti.
Glasgow : Printed by W.Anderson Eadie, [19--].

Rietti, John C. (John Charles), 1841-1896.
Title: History of the organization, military service and a record of battles and marches, of the Mississippi Rifles, Companies A and D, Tenth Regiment, Mississippi Volunteers, General J.R. Chalmer’s High-Pressure Mississippi Brigrade, ’Confederate States Army, from the organization of the company at Jackson Miss., January, 1858, to the surrender of General Johnston’s army, April 26, 1865 / compiled by J.C. Rietti.
Jackson : Printed by J.C. Rietti, 1865.