Below is all I have in my biographical roster of the 43rd Tenn. which is taken from the National Archives Compiled Service Records.
There are no diary entries I possess which note him.
Company G Called into service at Mossy Creek, Tenn., October 19, 1861(M861 Roll 54) with men from Jefferson Co.
Cunningham, Joseph, Pvt., Co. G, enlisted for 12 months April 4, 1862 at Knoxville, Tenn., left sick in hosptial at Louden, Tenn. December 26, 1862, rejoined regiment at Vicksburg, Miss. April 4, 1863, , captured and paroled at Vicksburg July 4-9, 1863, not present at March 10, 1864 muster (M268 Roll 291)
http://webpages.charter.net/43tenn
Good Hunting,
George Martin
Sparks, NV