Joyce--Yes, there were four Williams in the direct line, if you accept that William Hooker who received the land grant in 1657 was the father of William who d. l7l7. I believe he was, based on the research done by Malcolm Hooker in his l976 book, as revised through l979. However, I have followed the traditional pattern among Hooker researchers of referring to William who d. l7l7, as William I. I have seen no evidence that any of the four Williams had B. for a middle initial. Kyle