Haha..I didn't even know about the Jamestowne Society, though I know I've stumbled across some early Jamestown ancestors in my genealogical stumblings. I see on their website that the group gives a convenient list of names with which to cross-reference. Will keep it in mind.
All this stuff is mostly a matter of who jumped first and got over here early, Doesn't make people "special" in any real way. A bunch of mine came in the early 1600's - family oddballs, non-inheriting younger sons, practicing an illegal religion (lotsa Scottish Quakers), or looking for glory, earned (not inherited) prosperity and a mission in life, like ggggg++grand-father Miles Standish. The early-birds were self-made in the Colonies, and not overly fond of living in England/Europe under the thumb of their laws (obviously), so a good deal of the independent hard-cores naturally fought on the Patriot side in the War.
You're right about not being special, ...wait.....except for me. LOL
The Jamestowne Society is very picky, in the extreme. If you want in.
For instance my 7X great grand father married Argol Yardley's daugther. Argol (spelled a couple of ways) was the son of Col. George Yeardley, and was born in Jamestowne.
In the 6 volume genealogy book "Of Pure and Persons" Argoll and Francis Knight are listed as not having any children (no issue). That is the genealogy book that is accepted by the Jamestowne Society. Or maybe it was Anne Custis, of the line of Robert E. Lee's wife. I'd have to look it up to be sure, but anyway........
In the genealogy book "Daughters of the Colonist" Argoll and Francis/Anne are listed as having two children a son and his sister my grandmother. Which is not accepted by the Jamestowne Society.
The explanation for the difference is Argoll and Francis/Anne have my grandfather listed as someone who inherited their property. IMHO it would be odd to leave it to someone not a family member. Or maybe he was listed as executor of the estate. Again odd, if not a family member.
Been a while since I looked through all that, so memory may be off.
So you can get a lot of info from or through them, but as you run rabbits, some of the source material may not be accepted.
BTW both of those books/volumes are at the library. And you would need access to the entire volume to narrow it down to your ancestor.
Hope that helps.