I think I can fill in a few things for you.Ruby Weldon Parmer went on to publish a book that I know about, but haven't actually seen.It's called "A Look at the Fallin Family Ties" and if you look back through the Forum you'll see someone has it and will look up stuff.
Anyway, my stuff (which comes to me through a Bill Porter in NJ) shows a Jesse T. Fallin inTallapoosa County , married 10 Mar. 1845, died 25 Sept. 1893. It also recounts in some detail the story of the mule and the hoe, so I'm sure we're on the same person.He apparently served in Company D, 34th Alabama in the Civil War.
I don't see a John H. Fallin (except one in Baltimore, Md. later in the 1800s). I'll look around a little more thoroughly, but wanted to get this to you.Oh yes, it seems most likely that Fallin is originally Irish and is directly linked to "Fallon," if that's true the name is originally Gaelic and has a spelling something like "Fallamhain."
By the way, I'm delighted that someone has 9 Fallin siblings since my line (VA until the late 1800s) has only a few still going.