Yes, I do have pictures of the 13th La, it says below it "The 13th La, devastated in fierce fighting at nashville and Atlanta, carried this battle flag through both campaigns".
I also have Austin's Batt'n La Sharpshooters flag picture. It says "While other regiments in Randall L. Gibson's brigade adopted other flags, Austin's troops flew their "Stanless Banner" untill it was captured at Columbus, Georgia, in April 1865. On the flag it has crossed cannons, battle honors say, Shiloh, Belmont, Chickamauga, Farmington, Perryville and Murfreesboro.
The 13th La flag has the same cross cannons and same battle's on its flag as Austin's La SS.