Anne O'Brien, 2nd Countess of Orkney
Anne Douglas-Hamilton, 2nd Countess of Orkney was a Scottish noblewoman and the eldest daughter of Field Marshal George Hamilton, 1st Earl of Orkney, and his wife, the former Elizabeth Villiers.
She was also known as Anne O'Brien, Countess of Inchiquin, through her marriage to her first cousin William O'Brien, 4th Earl of Inchiquin, the O'Brien, Chief of the Name, Prince of Thomond, and Lord of Dál gCais. They were married on 29 March 1720. Their daughter, Lady Mary, succeeded her mother in the earldom of Orkney.
Their other children were: