Brigham was born in Westborough (now Northborough) in the Province of Massachusetts Bay, son of Colonel Levi Brigham and Susanna (Grout) Brigham. He was a descendant of Thomas Brigham and Edmund Rice, early immigrants to Massachusetts Bay Colony.[1] Brigham was graduated from Dartmouth College, Hanover, New Hampshire, in 1778.
He studied law, but did not practice.
He engaged in mercantile pursuits at Westborough.
He served as member of the State house of representatives 1791–1793.
He served as justice of the court of common pleas 1795–1811.
He served in the State senate in 1796, 1798 from 1801 to 1805, and 1807–1810.
He served as a state councilor in 1799, 1800, and 1806.