For starters, I would suggest you consult:
"The Military Annals of Tennessee, Regimental Histories and Memorial Rolls" (also known as Lindsley’s Annals)
In addition to thumbnail sketches of individual regiments, they usually contain a Roll of Honor containing the names and dates of regimental deaths.
I would look it up, but, I'm away from my home base and reference files.
I'd then suggest you do a Goggle search of the "23rd Tennessee Infantry." That's all you need. You will be suprised what you will find.
Good hunting,
George Martin