It would be interesting to know the reliability of the claim that Faulkner composed the tune in 1840.
The obituary accounts make it certain that Faulkner at least helped popularize the tune (and some form or forms of dialogue) in his part of the state. Just when (before or after 1846?) remains a fairly inconsequential mystery.
Knowing the name of the tune's "composer" would be gratifying, but though the melody had to come from some place, it's still a folk tune that to my ear is a second or third cousin of "Soldier's Joy." Maybe it was developed from that. Knowing the name of the person who "composed" or arranged and titled it wouldn't tell us anything of more than passing interest. Not that that would be a bad thing.