A good bit of this is reading between the lines, but here is my best guess. Reeves/Reves was "enlisted" by Captain Dancy at Oxford on the day before the beginning of the Battle of Chickamauga. The 34th was hotly engaged at Chickamauga, so it is obvious that Captain Dancy was not with his unit during the battle. Looking at the record of Captain Clifton Dancy, Co. H, 34th Mississippi Infantry, we find several requisitions for forage for a single horse. Some of these requisitions are recorded in Oxford and other parts of NE Mississippi. A key item on the requisitions is the statement the they are in the service of the conscript bureau. My reading of this is that Captain Dancy had been dispatched to the area where most of the companies of the 34th had been raised, to look for individuals who were now subject to the Conscript Act, and to "enlist" them in the Confederate Army - specifically into the 34th Mississippi. I find no record of a Camp of Instruction at Oxford which could have been a source of men, so my assumption is that Reeves/Reves had reached the age where he was subject to conscript, and either came forward when he learned of Dancy's presence in the area, or was taken in and forcibly conscripted. All this would lead me to believe that he was from the local area. Since the man you refer to as being in Lafayette County was shown to be 16 years of age in 1860, it is certain, if that information is correct, that by Sept of 1863, he was either 18 or 19 and had been subject to conscription since his 18th birthday. I would be 80-90% confident that these men are one and the same.