The profile of William Dungan (c 1606-1636) who married Frances Latham shows him born in Ireland to Thomas Dungan and Mary Elizabeth (Brook) Dungan. I've never seen any documented evidence of his parents. According to NEGHR 141:106: "Mrs. Barbara Dungan Barker and Mrs. Frances Dungan Holden, both of R.I. (a 3rd sibling was Rev. Thomas Dungan of Penn.) - TG 4 (1983):187-202, an article by Thomas P. Dungan that completely dissociates William Dungan of St. Martin-in-the-Fields, London, father of the immigrants and first husband of Mrs. Frances Latham Dungan Clarke Vaughan of Newport, R.I., from Judge Thomas Dungan of Lincoln's Inn, and thus disproves the noble ancestry for the Dungan siblings first proposed by Alfred Rudolph Justice in The Ancestry of Jeremy Clarke of Rhode Island and Dungan Genealogy, Philadelphia, 1922, and further developed and corrected by Robert Joseph Curfman in Forebears 15 (1972):103-106 and The Colonial Genealogist 8 (1977):200-212."
Unless someone has good evidence of his parentage, I propose to detach William from parents.
Darlene - Co-Leader, European Aristocrats Project