THOMAS, 2nd child of John & Alice (Brotherton) Doggett was born say 1632. He married by about 1652 Hannah Mayhew, daughter of THOMAS MAYHEW .
Source: Anderson's Great Migration Study Project.

THOMAS DAGGETT (JOHN DOGGETT) was born March 1630 in Watertown, Middlesex County, Massachusetts and died September 15, 1691. He married HANNAH MAYHEW about 1657, daughter of THOMAS MAYHEW and his second wife JANE PAINE. HANNAH was born June 15, 1635 in Watertown, Middlesex County, Massachusetts and died 1722 in Edgartown, Martha's Vineyard, Dukes, Massachusetts. HANNAH'S second husband was SAMUEL SMITH.
Notes for THOMAS DAGGETT
It is recorded that Thomas was the first in the family to spell his surname with an "a" instead of an "o" thus changing Doggett to Daggett.
Children of THOMAS DAGGETT and HANNAH MAYHEW are:
1) THOMAS DAGGETT, b. 1658, Edgartown, Martha's Vineyard, Dukes County, Massachusetts
2) SAMUEL DAGGETT, b. about 1660, Edgartown, Martha's Vineyard, Dukes County, Massachusetts d. February 26, 1717/18
3) JOHN DAGGETT, b. 1661; d. September 7, 1724, Edgartown, Martha's Vineyard, Dukes County, Massachusetts
4) JOSHUA DAGGETT, b. 1664, Edgartown, Martha's Vineyard, Dukes County, Massachusetts
5) JEMINA DAGGETT, b. 1666, Edgartown, Martha's Vineyard, Dukes County, Massachusetts; m. THOMAS BUTLER
6) MARY DAGGETT, b. 1668, Edgartown, Martha's Vineyard, Dukes County, Massachusetts; married JEREMIAH HOWE
7) PATIENCE DAGGETT, b. 1670, Edgartown, Martha's Vineyard, Dukes County, Massachusetts; married SAMUEL ANNABLE
8) MARTHA DAGGETT, b. 1672, Edgartown, Martha's Vineyard, Dukes County, Massachusetts; married JOHN CRANE
9) ISRAEL DAGGETT, b. 1674, Edgartown, Martha's Vineyard, Dukes County, Massachusetts; married RUTH NORTON
10) RUTH DAGGETT, b. 1676, Edgartown, Martha's Vineyard, Dukes County, Massachusetts; married NATHANIEL BACON
11) MERCY DAGGETT, b. about 1678, Edgartown, Martha's Vineyard, Dukes County, Massachusetts
(Ref: Daggett family genealogy website)