Tom,
This is actually the second flag for the 30th Tennessee and it was issued to replace the flag lost at Ft. Donelson.
Sadly, both flags are missing today but the one you have mentioned was depicted in a New York newspaper as beingnup there sometime after the war. I know the date but all of my notes are in my office atthe state museum.
The 15 stars are for the 15 slave states, not all of which seceded of coruse.
Hope this helps.
Greg Biggs
Tennessee State Museum Flag Project