William Palmer 
William was born in England. He died in November 1637 in Duxbury, Plymouth County, Massachusetts.General Notes
William Palmer arrived at Plymouth in 1621 on the Fortune with his son William. Two years later his wife Frances (Blossom) Palmer arrived on the Anne to join him.
William moved to Duxbury in the 1630's, having sold his house and six acres at Reed Pond to John Homes for 35 pounds on October 16, 1632. He was a "nailer" by occupation, prosperous enough to have servants. He was on the 1633 list of freemen and his son William Jr. became a freeman on January 1, 1634/35.
On July 23, 1633, William Mendlove was whipped for attempting uncleanness with Palmer's maid and for running away from his master. On August 1633 Robert Barker transferred his apprenticeship status from John Thorpe, deceased, to William Palmer.
On January 2, 1637 Stephen Hopkins was presented to the grand jury for suffering excessive drinking in his house by several men including "old Palmer" who must have died shortly after the event and before the grand jury's presentment. Widow Palmer and "Widow Palmer's men" were among the testifying witnesses.
Willam Palmer dated his will November 7, 1637. It was proved on November 13, 1637. His last wife was Mary, last name probably Trine, described in his will thusly: "Whereas I have married a young woman who is dear unto me."
He had left at least two children behind in England, and he had a daughter Sarah who had married Henry Rowley, but died before 17 October 1633. His son William Palmer, Jr. married Elizabeth Hodgkins, and by her he had one child, Rebecca Palmer, before he died in 1636, predeceasing his father.
By his third wife, William, Sr. had posthumously another William Palmer, born 26 June 1638. William Palmer's widow Mary later married Robert Paddock, most likely.
The son of the young wife Mary, the posthumous William Palmer, married a Susanna, who has been variously confused in published material as Susanna Hathaway or Susanna Cooke. Her correct identity is shown by Carlton A. Palmer, Jr., "Susannah (Briggs) Palmer of Plymouth Colony and Little Compton, Rhode Island," as a daughter of John and Sarah (Cornell) Briggs. Susanna Briggs married secondly John Northway.
Plymouth Colony: Its History and People 1620-1691
Mrs. John E. Barclay, "Notes on the Palmer Family of Plymouth"
Details of William's family with Frances Blossom
Sources/Citations
Mayflower Families Through Five Generations, Robert S. Wakefield and Margaret Harris Stover, General Society of Mayflower Descendants, Plymouth, Massachusetts, Plymouth Colony: Its History and People 1620-1691, Mrs. John E. Barclay, "Notes on the Palmer Family of Plymouth"
Mayflower Families Through Five Generations, Robert S. Wakefield and Margaret Harris Stover, General Society of Mayflower Descendants, Plymouth, Massachusetts, Plymouth Colony: Its History and People 1620-1691, Mrs. John E. Barclay, "Notes on the Palmer Family of Plymouth"