Hi Janice I have not personally researched this information.But I do try to seek several sources on the internet and try to note that which appears to be well researched.
Should we begin with trying to discover the identity of the wife of John Pers? Various researchers have her surname as STOKER, TRULL, PITT, HART.Savage just lists her as Elizabeth. He cites that they came from County Norwalk, England.
Richard Pers/Pierce, b 1540 Norwich, Norfolk, England and Margurite Coney were married bef 1588 in England. [see source: Desc of Richard Pierce & Marquite Coney http://www5.pair.com/vtandrew/piercehttp://www5.pair.com/vtandrew/pierce.They had at least 3 sons, Thomas, John & Richard, all of whom immigrated to America.
Their son John Pers [sr] b 4/8/1588 Norwich, d Watertown 8/19/1661. Md Elizabeth in England.[DID THIS JOHN COME TO NE IN 1633/34 AND THEN RETURN TO ENGLAND TO BRING THEM TO NE IN 1637?]
The first to come to America were their 2 eldest sons [SIC?].Familyorigins.com HOWEVER:http://www.mayflowerfamilies.comhttp://www.mayflowerfamilies.com The family is shown on the passenger list of the JOHN & DOROTHY and the ROSE which departed England 1637 as: John Pers age 49, wife Elizabeth 36; 4 ch: John, Barbre, Elizabeth, Judeth and servant John Gedney age 19. source: Mayflowerfamilies.com/ships CH: Anthony (b 4/28/1611); immigrated abt 1633/34.He was made a freeman in Watertown, MA 3 Sept 1634.
Hester/Esther (b 8/16/1612) married John/Joseph Morse/Moss in England 1636. They immigrated at another time, as both died at Watertown in the 1690's.
Mary (b 1613) md Clement Coldham Sr (b 1623/24 England).Pers at familyorigins.com and Desc of Richard Pers say md 1639/40 Gloucester, MA.You have 10/15/1663, some 24 years later. SHE IS NOT ON PASSENGER LIST WITH PARENTS IN 1637.WHEN DID SHE IMMIGRATE?
Barbre (bpt 2/4/1614) died during the family's voyage to America 1637.
John (b 3/19/1616-17); on immigration passenger list 1637 with parents. Named in his mother's Will. Md Elizabeth?Savage says 'of Sudbury'; Pers Genealogy has him residing in Boston, Woburn & Wethersfield, CT. Yet a John Piese recv'd 78 acres of land at Watertown 3/10/1642. [THE SAME JOHN?]
Robert (b 12/21/1621); md Mary Knight 1646 Norfolkshire, England. Immigrated between 1646 and 1650 when he was made a freeman in New England.
Elizabeth (b 4/11/1624), on 1637 immigration passanger list with parents. Md Mr Ball [John Boal? Savage says John Boal's wife Elizabeth went insane about 1660/61 and died bef he married again Oct 1665.
Judeth (b 2/8/1626-7), on 1637 immigration passenger list with parents.BY PROCESS OF ELIMINATION SHE MUST BE THE MOTHER OF JUDAH SAWEN.
Elizabeth Pers' Will dated 15 of 1st mos 1666/67 listed "children: Anthony, John, Robert,[H]Ester Moss(Morse),Mary Coldhum (Coldham) Grandchildren: Esther & Mary Ball d/o Elizabeth; John & Mary ch of Anthony; Judah Sawen Esther Moss d/o Joseph Judah d/o Robert."
On Familylegends.com, I found Barbra (b 2/4/1614-5, died 1637) Elizabeth b (4/11/1624, died before 1655) both b at Norwich, England; Judith (b 28/1626-7) at Watertown, MA.[sic]