John, I'm glad you wrote your messages because it reminds me that I was supposed to be working on something for someone else.
Anyway what I have and believe to be accurate on James Abernathy and his wife Elizabeth Cox is pretty well summed up in my message #3167 on this the Abernathy forum and I have other messages on here if you click my name above. I have in my records that James Abernathy ( wife Elizabeth Cox ) is the son of Robert Abernathy and his wife Sarah Abernathy with this Robert being the 4th geneation in America. What I believe to be really telling is the 1757 Granville County, NC tax list which lists Robert Abernathy Sr, Robert Abernathy Jr, and James Abernathy all living in the same household. This James is obviously the one who married Elizabeth Cox.
Also I have my genealogy family tree on Roots Web Family Trees which has my mother's and father's ancestors listed which I believe to be pretty accurate also. Some of the collateral lines I did not do enough work on but had help from lots of other people.
You are with the right person as Elizabeth Ferguson has helped lots of people with their genealogy including me. You really should get your DNA done so you would know where you stand - I did my DNA and am really glad that I did.