The son of George Venables Vernon (1st Baron Vernon) and his first wife, Mary, daughter and co-heir of the 6th Lord Howard of Effingham, George Vernon succeeded his father as 2nd Baron in 1780. He married for the first time on 16 July 1757 to Louisa Barbarina [d. 1776], daughter and sole heiress of Bussey, Lord Mansel; they had no children. In 1786 he married secondly, to Georgiana Fauquier [d. 1823]; they had one surviving daughter. Upon his death, the Baron was succeeded by his half-brother, Henry.