Bures has a connection with "The Mayflower" which set sail from Plymouth in 1620, taking the Pilgrim Fathers to America.

The Mayflower was the famous ship that transported the English Separatists, better known as the Pilgrims, from Southampton, England, to Massachusetts.
The vessel left England on September 6, 1620 and after a gruelling 66-day journey, the ship dropped anchor at Cape Cod on November 11.

On March 21st 1621, all surviving passengers, who had inhabited the ship during the winter, moved ashore and on April 5th, the Mayflower, a privately commissioned vessel, returned home to England.
With their religion oppressed by the English Church and Government, the small party of religious separatists who comprised about half of the passengers on the ship desired a life where they could practice their religion freely.

One of these religious Pilgrims on the ship was Edward Winslow married to Susanna White Winslow.
Whilst in America they had a son Josiah (b 1629)
Josiah Winslow journeyed to England in 1651 and while in England, married Penelope Pelham from Bures.

Penelope Pelham was born and baptised in Bures in 1633, the daughter of Herbert Pelham and Jemima Waldegrave of Smallbridge Hall. Jemima was the daughter of Thomas Waldegrave and Margaret Holmstead from Smallbridge. Penelope emigrated with her family to Cambridge (MA) in 1639 and later died in 1703 in Plymouth (MA)

After the successful trip of the Mayflower, many other ships followed the same route.
Here we have other emigrates with Bures connections who sailed on the vessel "Rebecca".

John PARMENTER was born about 1588 in Little Yeldham.
John Parmenter later moved to Bures St. Mary, Suffolk, about the time of his father's death which may have been related to his trade. Probate records indicate that both he and his son, John Jr. were tailors.

John Parmenter, his wife Mary and a few friends, sailed from Great Yarmouth to the Massachusetts Bay on the vessel "Rebecca" in 1638
He was made Freeman of Sudbury, Massachusetts on 13 May 1640.
He sailed with his wife, Bridget, and children, Mary and John. Accompanying the family was Elizabeth Loker, widow of Henry Loker, and two of her sons, John Loker and Henry Loker.

Mary PARMENTER, daughter of John Parmenter was born in 1610 in Bures St Mary.
She married John Woods, Oct 10 1633 in Bures St. Mary.
Strangely, records indicate he did not travel with his wife Mary from Yarmouth
However, other documents show John WOODS, a pin-maker by trade, arriving in America at age 26 in 1635 aboard the vessel 'Hopewell,'
They certainly met up again because his "Will", dated Nov. 26, 1677 names his wife Mary, his three sons and daughter Katherine as beneficiaries.

Here we have other emigrates with Bures connections who sailed on the vessel "Arabella"

Thomas Felbrigge, of Bures, may have been a fuller. He travelled to America on the ship "Arabella" in 1630

We do know that both the Knapp family and the Philbrick family were both Puritans and that the Knapp family crossed the Atlantic in 1630.
The "Arbella" was the flagship of the Winthrop Fleet. John Winthrop,( born at Groton)the leading Puritan leader of the Massachusetts Bay Company, sailed on board the "Arbella" when she and three (Ambrose, Hopewell, Talbot) other ships sailed from Yarmouth on the Isle of Wight on April 8, 1630.

On May 1630, a further seven ships sailed from the Isle of Wight:: Charles, Jewel, Mayflower, Success, Trial, Whale, William and Francis.
In total, the eleven ships were carrying some seven hundred passengers.

Elizabeth Ann KNAPP of Bures.
Parents: William KNAPP and Elizabeth READ of Bures
Nicholas Knapp of Bures.
All these other members of the Knapp family, ( not sure where they lived, presumably locally)
Knapp, Mrs. Elinor
Knapp, Mrs.
Knapp, John
Knapp, Anne
Knapp, Judith
Knapp, Mary
Knapp, James
Knapp, John
Knapp, William Jr.

Parke, Robert of Bures.
Parke, Mrs. Martha of Bures

Researched on Google by Alan Beales
Ref:-http://genforum.genealogy.com/loker/messages/14.html
Ref:- http://www.olivetreegenealogy.com/ships/nengships1620-1640.shtml
Ref:-http://www.walthowe.com/howegenealogy/gp3500.html

Ref:-http://www.philbrick-genealogy.org/coming_to_america.htm