His paternal grandparents were John Barrington, 1st Viscount Barrington, and Anne Daines (a daughter and co-heiress of Sir William Daines MP, Mayor of Bristol).

His uncle was William served as the Chancellor of the Exchequer and became the 2nd Viscount Barrington.

[3] Therefore, after his brother's death in 1801, Richard became the 4th Viscount Barrington and inherited Beckett House at Shrivenham in the English county of Oxfordshire (formerly in Berkshire).

[1] In 1783, Barrington was married to an American, Susan Budden (d. 1830), a daughter of Capt.

[4] Lord Barrington died, without issue, on 8 December 1813 in at Valenciennes, France.