Possibly the son of William Cunningham of Cairncurran Renfrewshire, know to have died in Jamaica 12/11/1798: if so, he was the brother of John, Alexander and Charles Cunningham, owners of the Cairncurran estate in Westmoreland.
George Crawfurd, A General Description of the Shire of Renfrew: Including an Account of the ... (1818) p. 406.
The dates listed below have different categories as denoted by the letters in the brackets following each date. Here is a key to explain those letter codes:
1807 [EA] - 1811 [LA] → Not known
The estate was registered to the trustees of [the late] William Cunningham between 1807 and 1811.