Follow-up on this company. It was assigned to Forrest's old regiment (AKA McDonald's Tenn. Cavalry Battalion and Forrest's 3rd Tennessee Cavalry) as 2nd Co. "H", and later assigned to the 15th Tennessee Cavalry as Company "I".
http://www.tngenweb.org/civilwar/csacav/csa3forrest.html

If I'm not mistaken, this company served with Baxter's Cavalry Battalion during 1862.