James Annesley, 2nd Earl of Anglesey politician (1645–1690) Parents Arthur Annesley, 1st Earl of Anglesey Elizabeth Annesley, Countess of Anglesey Children Arthur Annesley, 5th Earl of Anglesey James Annesley, 3rd Earl of Anglesey John Annesley, 4th Earl of Anglesey Lady Elizabeth Annesley Siblings Richard Annesley, 3rd Baron Altham Lady Elizabeth Annesley Altham Annesley, 1st Baron Altham Frances Annesley Lady Philippa Annesley Lady Dorothy Annesley, Countess of Tyrone Partners Elizabeth Annesley, Countess of Anglesey