"U.S., Civil War Draft Registrations Records, 1863-1865 <
http://www.ancestry.com/rd/viewrecord.aspx?dbname=consolidatedlistsofcivilwarreg&dbid=1666&rpid=406354> "
I found the records on ancestry.com <http://ancestry.com/> . I think they have been ramping up their Civil War records.
I don't know of any other source.