From Wikipedia:
James Chilton 1556-1620 was a Leiden Separatist passenger on the historic 1620 voyage of the ship Mayflower and was the oldest person on board. Upon arrival in the New World, he was a signer of the Mayflower Compact.
He died on December 8, 1620 while the Mayflower was anchored at Cape Cod. His wife died about a month after him, early in 1621.