Kathy,
I have been some research on James Anderson who married Eliza Simpson. Some online here on Ancestry and in local documentation at the local library believe that he was a son of Isaac "of Citico" Anderson and Margaret Woods. I have confirmed none of this.
What led me to this is that I have seen Edy/Eda/Eliza Anderson Tallent (lots of spelling variations) given as a daughter of James and Eliza on a number of public trees. I recently found a AncestryDNA match that leads back to James Anderson through Eda. A sister, Bethenia Anderson Tallent, is also shown. Bethenia and Eda married brothers (both from NC). Bethenia is buried at Middlesettlements UMC within feet of my link to James Anderson, his son Jonathan (my 3xggf).