I didn't know if anyone from the William Jayne family of New York is interested or has seen this but thought I'd pass this along.

1666 a William Jayne of Bristol, Innholder left a will in which he named sons, Roger, Michael, and William. He also named daughters.

There is no Henry mentioned and I know the year is a little late but I have seen very few Roger's and I read that somewhere it is written that a Roger was in William's family