He was the son of Arthur Livermore (a jurist) and Louisa Bliss of New Hampshire. In 1853, he married Kate Prince, at Lowell, MA. They had one child, Susannah (b. 1855).
He graduated from Dartmouth College in 1829. He read law at Bath, NH, and Boston, MA, and was admitted to the bar in 1832, in Exeter, NH. He first opened an office in Gilmanton Iron Works, NH, and later in Lowell, MA, and practised there until 1839.
AMW knew his wife from her days at Lowell, MA, when they were neighbours, and developed a close friendship with them at a later stage in her life.
Livermore also practised in Bath, NH, and lived in Washington Co., MO, until 1865. He was later appointed by President Johnson, US Consul at Londonderry, Ireland, which office he held under successive administrations. He retired in England.
Thwing, Walter Eliot, The Livermore Family of America, Boston, 1902, pp. 262-63.