I see this was written in 03 and you may already have your answer. I have William Hunter as born in NJ because of the following document. If you have other news I would love to hear.
American Genealogical-Biographical Index (AGBI)
about William Hunter
Official reg. Of officers and men of NJ. In the Rev. War. Ed. By Will. S. Stryker. Trenton, NJ. 1872. (878p.): 852