The Wynne family had been producing members of parliament for Caernarvonshire since at least as far back as the mid-seventeenth century.
He received his education at Westminster School and at Brasenose College, Oxford, which he left at the end of 1797 after only about six months, possibly in connection with his parents' separation.
[1] He took the names Griffith and Wynne by royal licence on 26 June 1804, almost certainly in order to inherit from his mother's family the Wynne family estates surrounding Voelas House (subsequently demolished) in Denbighshire.
His youngest daughter Frances Elizabeth Wynne was a keen amateur artist who toured Europe on several occasions.
Another child included their son, John Wynne, who played first-class cricket.