My wife' great grandmother was Maggie, d/o James Vermillion and Nancy, who had at least 7C. Maggie (born 1837) married George H. Griffin and had 7C.
James appears to be the only child (have not found others) of Samuel Vermillion (1755-1837), who was born MD and died in Macon Co, NC and also a Rev War vet. From him my records have him back through John (1712) to Giles, per Vermillion Family genealogy by Ira Vermillion, page 56.
I'm not sure validity of this work and wonder who else knows this particular line.
Children of James and Nancy went to TN and then to AR (particularly Batesville area).