I'm confused by your answer. So--was Jamestown continuously inhabited from its founding to now--and called that whole period "Jamestown?"
I have this stray data point in my head that there was a period of time when it was not inhabited and that the experts didn't even know for sure precisely where it was. What parts of that memory are not true; what parts are true?
The settlers at the Jamestown settlement did not do well. They disappeared and probably lived with the Cherokees. Hence early reports of blue-eyed Cherokees.