This was Storr's Cadet Troop. Students at the University of Alabama walk past a memorial at Morgan Hall that includes a brief history of the unit and a list of cadet members. I have access to the service records if that helps you.

Here's a summary of the company:

Company “F” of Tuscaloosa and Montgomery Counties “Cadet Troop”

Charles Paddock Storrs. Wounded [near Columbia, Tennessee,] November 23, 1864. [UA/63]

Cadets mustered at Tuscaloosa, Alabama, June 4, 1863, followed by other recruits who enlisted at Montgomery, Alabama, July 1, 1863. This company served as escort to General James H. Clanton and Colonel Edmund W. Rucker. Survivors surrendered with consolidated Company “A”.