James Annesley, 3rd Earl of Anglesey (1670–18/21 January 1702), succeeded to his Earldom on the death of his father, James Annesley, 2nd Earl of Anglesey in 1690. He matriculated at Christ Church, Oxford in 1690. His mother was Lady Elizabeth Manners, daughter of John Manners, 8th Earl of Rutland. In October 1699 he married Lady Catherine Darnley, illegitimate daughter of James II of England by Catherine Sedley, Countess of Dorchester. They had a daughter, Lady Catherine Annesley, who married William Phipps and was ancestress of the Baron Mulgrave.