I do not believe this was the Lovett Jordan in Co. H, whose mil. records from NARA indicate he joined the unit in 1861 at 18 years of age. There might well be a relationship [uncle, cousin?] because of the geographic proximity and name similarity. The other Jordans in Co. H. might be clues to follow.
From: humble.ob.doc@MCIONE.com (J. R. Hollingsworth)
The fact that William joined in 1863 would indicate he was quite young and had just turned 16 or that he was involved in a war related business or had a disability which exempted him earlier.
REF: EMAIL from firstname.lastname@example.org (Bonnie Jordan Hucks)