Buccleuch was buried on 26 April 1751 in Eton College Chapel. Lady Louisa Stuart called him "a man of mean understanding and meaner habits", and added that after his first wife's death "he plunged into such low amours, and lived so entirely with the lowest company, that his person was scarcely known to his equals, and his character fell into utter contempt." Though a distant kinswoman by marriage and therefore privy to family remembrances of Buccleuch, Stuart's judgment must be treated with caution; she had no first-hand knowledge of the man, having not yet been born at the time of his death.