I have an Oliver Bunker in my data base who is shown to have been born about 1548 in Bengeo, Hertford, England. His wife was Joan and they had a son George. This son, George married Ellen and they had a son George in 1600. This son, George married Judith Major and the couple had Martha on April 15, 1627, Benjamin on July 20, 1635, and Jonathan on April 8, 1638.
This family is not ancestral to me, but they are distant cousins. Martha was born at Odell, Bedfordshire, England, Benjamin was born at Charlestown, Suffolk, MA as was Jonathan.