He was the elder son of Sir Robert Alexander, 2nd Baronet and his wife Elisa Wallis, daughter of John Wallis. In 1859, he succeeded his father as baronet. Alexander was educated at the University of Dublin and then at Trinity College, Cambridge, where he graduated Bachelor of Arts and later proceeded Master of Arts.
Alexander was nominated a Queen's Counsel in 1844 and became a bencher of the Middle Temple in the same year. He was called to the bar by Lincoln's Inn in 1825. In 1863, he was appointed Attorney-General of the Duchy of Cornwall by Albert Edward, Prince of Wales, an office he held until his death in 1873.
Alexander died unmarried and was succeeded in the baronetcy by his younger brother John.
Sir Edward Smirke
| Attorney-General of the Duchy of Cornwall
|Baronetage of the United Kingdom|
John Wallis Alexander