Brigham was annually elected lieutenant governor of Vermont for 16 consecutive years, from 1796 to 1813; only the brief Federalist resurgence removed Brigham and other Republicans from office. After conclusion to the War of 1812, which gave life to the moribund Federalist Party all across New England for their opposition, Brigham was again lieutenant governor, this time from 1815 until 1820. Upon the death of Governor Thomas Chittenden, he served for a short time as the second Governor of Vermont from August 25 to October 16, 1797, when the new governor, Isaac Tichenor was sworn in. Brigham then resumed his duties as lieutenant governor. He retired and returned to his home in Norwich in 1820.