Have you checked the Unit Bibliography held by the U. S. Army Military History Institute?
U.S. Army Military History Institute 950 Soldiers Drive
Carlisle Barracks, PA 17013-5021 30 May 2012
114th Illinois Infantry Regiment
Dyer, Frederick H. A Compendium of the War of the Rebellion. Vol. 2. Dayton, OH: Morningside, 1979. pp. 1094-95. E491.D992. (Concise summary of the regiment's service).
From Beardstown to Andersonville: The Civil War Letters of Newton Paschal and Tommy Paschal. [Edited by Joseph E. Fulton] Westminster, MD: Heritage Books, 2011. 210 p. E464.P37.
Private Asa Newton Paschal, Company A.
Illinois. Military & Naval Department. Report of the Adjutant General of the State of Illinois. Vol. 6. Springfield, IL: Journal Co, 1901. pp. 202-23. UA43.I322v6. (Roster of the regiment).
_____. Vicksburg Military Park Commission. Illinois at Vicksburg. Chicago: Blakeley, 1907. pp. 293-96. E475.27.I29. (Brief recountal of the regiment's service during the Vicksburg Campaign).
Satterlee, John L. The Journal & the 114th, 1861 to 1865: Also Anecdotes and Incidents. Springfield, IL: Phillips, 1979. 376 p. E505.5.115thJ66.
Our Photo Archive includes images of individuals of this unit.
The following pertinent personal papers are in the Institute's Manuscript Archive:
Black, Richmond - Black Coll (Capt's letters, Mar 31-Jul 5, 1863; Biographical information)
Fulkerson, Abram - CWDocColl (Enlisted man's diary, Aug 12, 1862-May 22, 1865)