[1] His paternal grandparents were The Most Reverend Charles Cobbe, Archbishop of Dublin and Primate of Ireland, and Dorothea (née Levinge), Lady Rawdon, a daughter of Sir Richard Levinge, 1st Baronet and widow of Sir John Rawdon.
His maternal grandparents were Marcus Beresford, 1st Earl of Tyrone, and Lady Catherine Power, suo jure Baroness La Poer.
[1] Cobbe represented Swords in the Parliament of Ireland from 1783 to 1790; and again from January 1798 until his death later that year on 9 July 1798.
[2] His seat in Parliament was taken over by his cousin, Marcus Beresford, who held it until the Act of Union 1800.
Because of his debts, his father sold some estates in Louth and their large townhouse in Palace Row.