My recent issue of "Carolina Trees & Branches" has an article on these people:
"Henry Abbott married a daughter od Capt. James Cook, brought her to Camden County where they lived, and one daughter, Courtney, was born to them."There is information about a gift from President Washington.She married Abner Williams of Massachusetts and they settled in Elizabeth City.
If you want to e-mail me your address, I will mail you a copy of the article, or I will give you information so you can order the booklet.
I am not researching these people; I had ancestors who lived in the area.