You can access a roster of some 1987 men at this subscription service
http://www.civilwardata.com/

American Civil War Research Database
http://www.civilwardata.com/active/hdsquery.dll?Muster?1785&C

A typical entry

William T. Acrey

Residence Macon County AL; a 20 year-old Shoemaker.
Enlisted on 7/3/1861 at Macon County, AL as a Private.
On 7/3/1861 he mustered into "C" Co. AL 15th Infantry
He was Killed on 9/20/1863 at Chickamauga, GA
He was listed as:
* Absent sick (date and place not stated) (Absent during most of 1862)
Promotions:
* Corpl
Other Information:
born in Georgia

Sources used by Historical Data Systems, Inc.:
- Index to Compiled Confederate Military Service Records
- The War Between the Union & Confederacy: Wm Oates
- Alabama Civil War Database www.archives.alabama.gov/civilwar/