Here's a few possibles listed in Booth's:

Kirkland, Love G., Pvt. Co. E, 4th La. Cav. On Rolls of Prisoners of War, Paroled at Monroe,
La., June 6, 1865. Res. Vienna, La.

Kirkland, Wilson C., Pvt. Co. I, 28th (Gray's) La. Inf. En. May 11, 1862, Monroe, La. Appears on
Roll for July and Aug., 1863.

Others here can provide more/better info, but I hope this helps.
Virgil