He graduated from Cambridge University with a Master of Arts (M.A.).
He was a practising barrister at the Inner Temple, and was called to the bar in Michaelmas term, 1833.
Law was a barrister and Private Secretary to his brother Edward Law, 1st Earl of Ellenborough, when First Lord of the Admiralty in 1846 and President of the Board of Control in 1858.
[5] He was also Clerk of the Docquets (or Dockets) until the abolition of that office, when he was awarded a pension.
[3] Law married on 16 May 1839 Dorothea Anne Rochfort (d. 25 November 1871), eldest daughter of Col. John Staunton Rochfort, of Clogrennane Castle, County Carlow, by his wife Mary Burgh,[2] and had issue: Law died on 15 July 1885 and is buried in Brompton Cemetery.