Otis and Deane claim that John Barker married in 1632 Ann Williams, daughter of John Williams of Scituate, also claiming that the latter came in 1632 with Timothy Hatherly. There are a number of problems with this. First, the earliest record of John Williams is on 5 March 1638/9, when he was propounded for a freeman of Plymouth Colony [ PCR 1:116], and the first record of John Barker is as a proprietor of Marshfield on 5 November 1638 [Pope 32]. Second, the other known children of John Williams marry or first appear in the records in the late 1640s and early 1650s. Third, John Barker's children were three daughters who married between 1660 and 1668, indicating births in the 1640s. The likely time of arrival for both John Barker and John Williams is late in the 1630s.
[Note: When John Barker senior died in 1652, his son John junior was two years old and John Williams was apponted his guardian. It is unclear whether John Williams was married at the time. John senior’s widow, Ann, soon married Abraham Blish (or Blush) as his second wife and had at least two more children. Furthermore, when John Williams made his will in 1691, he referred to John Barker as his nephew.]
