Thank you for your posting. Do you have Bob Carter's website URL? I'd like to look at it. Here is what I know about William Jayne and Oliver Cromwell. I have taken it mostly from the 1972 "The Jaynes Family History" by John L. Vinke, which is a pamphlet, and "Ancestry of Jayne Family of Long Island and Smack Family of New York," undated, compiled by Edward H. Jayne, which is another pamphlet. I quote from Vinke's work: "A son of Henry de Jeanne, William, was born at Bristol, England on January 25, 1618. William was expelled from Oxford University in 1640 as a dissenter. He became a Presbyterian preacher and a follower of Cromwell. In 1660, when Charles the second was restored to the throne, the persecution of the followers of Cromwell became very severe. William de Jeanne fled to Monmouthshire on the border of Wales and changed his name to Jayne to escape ecclesiastical persecution. Between 1670 and 1675 and a widower, William Jayne left three grown sons in England and migrated to America." The Jayne pamphlet adds: "Mr. B.G.Jayne says the name Jayne is a changed form of de Jeanne, which is found in the English records, and that the family originally came from Normandy. He states that the form Jayne is not in the English books of Visitation, before the Revolution, and ascribes the change of name to William, son of Henry de Jeanne, in an effort to escape ecclesiastical persecution, owing to his activities as a dissenter and a sympathizer with Oliver Cromwell, in whose Army he was chaplain and also a private secretary to Cromwell." Those two quotes are the only information I have on the Jayne-Cromwell connection. I haven't seen anything more substantive. I hope that helps. The two pamphlets I quoted from are to be found in genealogical libraries. They concern the Long Island branch of the family, which was founded by William Jayne, born in Bristol, England, who came to America in 1670. The other branch of the family was founded by another William, who spelled the name Jane, and is probably the uncle of William Jayne. He came from Essex, England to New Haven, Connecticut, in 1637. He had no affiliation to Cromwell. I hope all this helps you.