Hi Ralph, Well actually I don't think our two Fallin families are related, at least since they arrived to America.
From what I can tell my branch comes from Maryland and probably didn't get here until 1733-ish and might possibly be related to the other Redmond Fallin (and Rachel Millis) over in Queen Anne's county, Maryland.
My Redmond Fallin, I believe was somehow tied in with the Quakers (if only for a decade or so) and I believe may have arrived in Philadelphia or South of there, and then the Meeting House there sent him down to Maryland just across from present day Washington DC (Frederick County) to a meeting house community in what was called "The Monocacy Hundred" where my Redmond Fallin was listed as a taxable on a "list of taxables".
This same community "The Monocacy Hundred" founded communities in Danville, Virginia area and down into North Carolina. Which is where my Redmond Fallin is on Record as having "established a home on the Sandy Creek of the Dan River by 1745"
So, after all these years, this is still circumstantial, but something is starting to actually fit and it seems like my branch is yet another group apart from all the rest.