William Hook born 1759 (Inquests)
I've done a bit of digging, but not come up with much. Apparently there were/are Hook's in Virginia. FoD.net parish records do have a few Hook's but not your man or not obviously so. I thought the name was an anglicised version of de la Hogue ie a Norman knight who came over with William the Conquerer. I used to live in the village of Hook in North Hampshire. The Hook family were still resident until the 1960's. The 18th Century house is now the Hook House Hotel. I looked up the origins of the name Hook and got so many vague answers I gave up.
I would have thought that research in Virginia is best way to go.
I wish you every success.