General Robert Cuninghame, 1st Baron Rossmore (18 April 1726 – 6 August 1801), was an Irish British Army officer and politician.

He was childless and was succeeded in the barony according to the special remainder by his wife's nephew Warner Westenra, 2nd Baron Rossmore.

Here he died rather suddenly, aged seventy-five, in August 1801, having been in excellent health and good spirits to the end.

Sir Jonah Barrington (1756-1834), the judge and memoirist, was apparently the originator of the colourful story that Lord Rossmore's death was heralded by the wailing of a banshee.

He was admitted to the Irish Privy Council in 1782 and in 1796 he was raised to the Peerage of Ireland as Baron Rossmore, of Monaghan in the County of Monaghan,[2] with remainder to his wife's nephews Henry Alexander Jones (the son of Theophilus Jones and Anne Murray, eldest sister of Elizabeth; Henry Alexander Jones died childless before his uncle Lord Rossmore) and Warner William Westenra and Lieutenant-Colonel Henry Westenra, sons of Henry Westenra and Harriet Murray, youngest sister of Elizabeth.