George was the 5th son of Henry Cheap of Rossie, Scotland.
He married Mary Wedderburn in 1716
He was a Collector of Customs at Prestonpans in Scotland
6th April 1747
List of persons who were useful to the Government during the late rebellion and thereby entitled to their favour
George Cheap
'I sent him to meet Marshall Wade at Doncaster, who employed him to provide Forrage & c for the Army. He suffered much by the rebellion and was always ready and employed by those who commanded in Scotland, acted with judgement and honesty, and thereby on many occasions saved money to the Government, but never asked or received a farthing for his trouble or expense, and therefore merits a superior office than what he now enjoys in the Revenue