Life on the Mayflower Ship in 1620: History, Book 40 (Unabridged‪)‬

It is 1620. We Pilgrims do not agree with the Church of England and decide to sail to America which is known as the New World. Ahead of us is a wooden cargo ship with no sails. We see a wooden mayflower carved and painted on the stern or back of the ship. I wonder what the ship is called?