|Died||30 December 1751 (aged 70)|
Barrowby was born in London, the son of John Barrowby, a physician. He was educated at Eton and Trinity College, Oxford, taking degrees of M.B. in 1709, and of M.D. in 1713. He was elected a fellow of the College of Physicians of London in 1718, and Fellow of the Royal Society in 1721.