While Franklin may indeed have housed areas for the sick and wounded, a second battle, although on a much smaller scale, was again fought near Franklin on December 17th. If you look closely at the service records I cited, you will see that one was both wounded and captured on December 17, not just captured. There are several more like that besides the single example I used.
A member of Company A, 19th Louisiana writes " We marched on the retreat during the night (Dec 16th)..., into the hills north of Franklin where we rested a little, then moving forward again. Gibson's Brigade was rear guard and next morning at daylight (Dec 17th) as we came from the mountain passes and in sight of Franklin we encountered the cavalry of the enemy and had to fight it all day as we retreated."
This is not the only source I have confirming that, but I have elected to use this particular one, as it very accurately describes the second conflict with the Federals at Franklin. I hope this ends any confusion.