

Update 4 January 2024:
Y‐DNA testing has conclusively proven that Capt, Matthew Fuller, of Barnstable was not a son of Edward Fuller, "Mayflower" Passenger.
Extensive Y‐DNA testng was completed as part of the Fuller Big Y DNA Project. Specifics of the DNA testng were reported in the Summer 2022 Issue of The Mayflower Descendant, published by the New England Historical and Genealogical Society. The conclusion of this testing was:
The NGSY‐DNA results demonstrate that Matthew Fuller cannot be Edward’s son or descendant and that the immigrant Robert Fuller is more closely related to Matthew than Matthew is to Edward. In sum, all three men are kinsmen, but no father‐son relationship exists among them. The genealogical timeline makes such kinship impossible.
References:
https://ancestors.familysearch.org/en/LH8C-3R5/mary-fuller-1625-1691
Mary Fuller about 1625–before 11 May 1691
Birth • 3 Sources about 1625 Redenhall with Harleston, Norfolk, England
Age 66 Death • 1 Sources before 11 May 1691 Barnstable, Barnstable, Massachusetts Bay, British Colonial America
Mary Fuller, "Fuller Genealogies"
SPOUSES AND CHILDREN
Ralph Jones Jr. 1623-1692
Marriage: 17 Apr 1650 Plymouth Colony, Massachusetts
Mary Fuller 1625-1691
Children (12)
Mehitable Jones 1645-1691
Ephraim Jones 1651-1735
Mathew Jones 1651-1749
Samuel Jones 1652-1732
Shuball Jones 1654-
Jedediah Jones 1656-1719
John Jones 1659-1725
Mary Jones 1662-1691
Mercy Jones 1666-
Ralph Jones III 1669-1711
Samuel Jones 1671-1728
Mary Jones
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PARENTS AND SIBLINGS Mathew Fuller Mathew Fuller 1603-1678 Marriage: about 1624 Redenhall with Harleston, Norfolk, England Frances Iyde Frances Iyde 1605-1678 Children (5) Mary Fuller Mary Fuller 1625-1691
Elizabeth Fuller 1627-1714
Lt. Samuel Fuller 1630-1676
John Fuller 1631-1692
Anne Fuller 1634-1692
'http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=64572333
Daughter of Matthew & Frances Fuller, b. prob. England around 1628. She married at Plymouth 11 May 1650 Ralph Jones, who d. at Barnstable between 11 May 1691 & 20 Apr 1692. They had ten children
1625 |
1625
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England
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1651 |
1651
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Barnstable, Barnstable County, Massachusetts, Colonial America
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1651
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Barnstable, Barnstable County, Massachusetts Bay Colony
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1654 |
August 27, 1654
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Barnstable, Plymouth Colony
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1659 |
August 14, 1659
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Barnstable, Barnstable County, Massachusetts Bay Colony
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1663 |
1663
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Barnstable, Barnstable County, Massachusetts Bay Colony
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1669 |
October 1, 1669
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Barnstable, Barnstable County, Massachusetts Bay Colony
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1670 |
May 11, 1670
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Barnstable, Barnstable County, Massachusettts Bay Colony
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