[3] Annesley sat as Member of Parliament (MP) in the Irish House of Commons for Midleton between 1741 and 1758.
In 1758 he was raised to the Peerage of Ireland as Baron Annesley, and assumed his seat in the Irish House of Lords.
On 16 August 1738, Lord Glerawly married Lady Anne Beresford, a daughter of Marcus Beresford, 1st Earl of Tyrone and the former Lady Catherine Power (only daughter of James Power, 3rd Earl of Tyrone).
Together, they were the parents of five children:[6] Lord Glerawly died on 2 September 1770 at Clontarf, Dublin.
He was succeeded in the viscountcy by his eldest son Francis, who was created Earl Annesley in 1789 with special remainder to his brother, Richard.