You certainly go back a long time.
My Bradley's originated in Co Donegal Ireland in the 1700's
and my mom and her sibblings were the first generation to be born in MA(US). She was born in Malden MA Jan 3 1908, and died in Stoneham MA Sept 15 `1976. Her parents were Patrick Bradley dob about 1864? and Mary Ann O'Donnell dob July 1873. Patrick's parents were Bernard Bradley and Mary McGeoghan, Patrick had at least two sibblings I know of(not much about them though)Corneilus and Moira.
Don't think we're connected but thought it interesting that my family wound up living in Salem MA(not that far from Glucester).
Hope you've done well in tracing your Bradley's.
Any other surnames in MA, that connect with them?