William,
There is a recent unit history of the 19th Tennessee entitled, "Mountaineers In Gray: The 19th Tennessee Volunteer Infantry CSA" by John D. Fowler (Univ. of Tenn. Press).
He is a history professor at Kennesaw State University down in Georgia. It is a very good book but it lacks the roster.
However, you might find it useful for your research.
Ken Haffendorfer also released a recent book on Mill Springs that is impeccably researched.
greg Biggs