Not much help but if they marched anywhere near central Arkansas, they went down the old Military Road.
That road passed through what was Brownsville on into the edge of what is now Jacksonville.
You can still see a few parts of it as I drove down Miltary Road just yesterday.
I know about this part simply because I live within a mile to a few miles where the miltary people had to go.
Posting in Arkansas might be a good idea.
LInda