The William WHITE who married Susanna FULLER (at least we think FULLER was her surname) died the first winter in Plymouth, 14 March 1621 to be exact. He had three children, Resolved, who was born in the Netherlands on 9 September 1614 and died in Salem Massachusetts on 19 September 1687; Anna (or possibly Susanna), who was born in the Netherlands in 1615 and died in the Netherlands on 21 December 1618 and Peregrine, who was born aboard the Mayflower as she lay at anchor in Cape Cod (now Provincetown Harbor) on 20 November 1620 and died in Marshfield Massachusetts on 22 July 1704. He had no child named William. However, one of the children of Resolved was named William. He was born on 10 April 1642 in Scituate Massachusetts and died on 24 January 1695 in Marshfield Massachusetts. I have not done much research on this William WHITE, but he was apparently married to either Hannah SMITH (no date of birth or death) or a Sarah (no surname) born in 1640. My experience tells me Hannah SMITH may not be accurate. Most of the sources I have accessed so far make no mention of a spouse for this William WHITE. I did locate a Massachusetts Marriage Record for a Hannah SMITH marrying John WHITE on 24 February 1679, but no record of this William WHITE's marriage. Peregrine married Sarah BASSETT and had several children, but none named William or Elizabeth. Except in your post I have not run into the Hanna CADMAN name.