NPS-CWS&SS shows:

James S. Jennett
Regiment Name 46th Virginia Infantry
Side Confederate
Company F
Soldier's Rank_In Captain
Soldier's Rank_Out Captain
Alternate Name James L./Jennett
Film Number M382 roll 29

James L. Jennett
Regiment Name 59th Virginia Infantry
Side Confederate
Company C [3rd], South of Dan Rebels
Soldier's Rank_In Captain
Soldier's Rank_Out Captain
Film Number M382 roll 29

Note: Co C(3rd), South of Dan Rebels, formerly called Co K(1st); formerly Co K, 20th Regt Va Inf; enlisted 6/1/1861 for 1 year; reorganized 5/7/1862; attached as Co F, 46th Regt Va Inf, 5/29/1862; assigned to 59th Regt Va Inf from 20th Regt Va Inf per S.O. No. 244, A&IGO, dated 10/18/1862

By "Conductor", do you mean the man who went out and recuited men to serve and then when they joined, "conducted" them to the unit? That would probably show up in his files.