In September 1620, a merchant ship called the Mayflower set sail from Plymouth, a port on the southern coast of England. Typically, the Mayflower’s cargo was wine and dry goods, but on this trip the ship carried passengers: 102 of them, all hoping to start a new life on the other side of the Atlantic. Nearly 40 of these passengers were Protestant Separatists–they called themselves “Saints”–who hoped to establish a new church in the New World. Today, we often refer to the colonists who crossed the Atlantic on the Mayflower as “Pilgrims.”

If you want to find some additional information about the ship 'Mayflower' you may visit these sites:
http://en.wikipedia.org/wiki/Mayflower
http://www.history.com/topics/mayflower

It's also interesting to read about copy of Mayflower , which was built in Devon, England and crossed the Atlantic in 1957.
Here you can find more about   full-scale reproduction of Mayflower
  http://www.plimoth.org/what-see-do/mayflower-ii
The details of the ship, from the solid oak timbers and tarred hemp rigging to the wood and horn lanterns and hand-colored maps, have been carefully re-created to give you a sense of what the original 17th-century vessel was like!