Walking, as referenced in my earlier post, might well have been part of the journey. Rail travel would have taken recruits from Camp Watts to Gordonsville VA and beyond. If rail transportation was possible, that would be the method used. Also note that basic needs for literally tons of supplies would always place the army near a major depot except when on the march for short intervals of time.
http://americancivilwar.com/civil_war_map/Confederate_Railroad_Map.html

Patrick B Skipper was a resident of Abbeville and Confederate sub enrolling officer for Henry County. According to a pay receipt, he began work as enrolling officer on Aug 13, 1862. Skipper was exempt from service as deputy sherrif of Henry County.

Matthew T Moore had just turned eighteen and might be considered a volunteer. Two men named James M Moore lived in Henry County when the war began. The younger JMM joined in 1861 and was killed in action at Seven Pines VA, May 31, 1862. A married man in his mid-twenties, the older JMM was enrolled on Aug 28, 1862, Abbeville AL.

Since James M Moore clearly a conscript, it may be that Matthew T Moore decided to accompany him.

We don't know how long they stayed at Camp Watts, but it seems likely that they arrived in camp of the 6th Alabama Regt by November 1862.