According to family tradition or tall tales Rachel Combs the wife of John Acord was apparently captured by some indians and was assimilated into the tribe, she showed back up some years later with two young boys in tow John "Old Jack" and Zur. Your line is from Old Jack.
Whether that is true or not most likely will never be known unless one of the Acord men get a DNA test done.
As far as the spelling of the Acord name goes you will find it in the census records spelled several different ways I know my grandfather another John Acord would always introduce himself as Johnny Akerd. But you'll find it as Akers, Accord, Eckerd as well as Acord.