Is this your man?

Private Zachariah M. Liles, enlisted as a Private in the Union Army on 29 Aug 1862. He enlisted in Company A, 15th Kentucky Cavalry Regiment, USA, on 6 Oct 1862 for one year. Mustered out on 5 Oct 1863 in Paducah, KY.

Comment: Distinguished Service

Battles Fought

Fought on 19 September 1862 at Owensboro, KY.
Fought on 04 November 1862.
Fought on 29 June 1863 at Spring Creek, TN.
Fought on 18 August 1863.

Source: Civil War Service Records, Ancestry.com