Oooops!

This may have been what you are referring to:

Name: L H Parham
Enlistment Date: 1864
Military Unit: Personal Papers Fold.3

There are two files, one under L. A. Parham, and the other L. H. Parham

https://www.fold3.com/image/268698158?terms=Parham,%20L

https://www.fold3.com/image/268698158

https://www.fold3.com/image/268698168

Military Unit:
Personal Papers
Compiled Service Records of Volunteer Union Soldiers Who Served in Organizations from the State of Tennessee