 His only son predeceased him and the title became extinct on Shireburn's death in 1717.The substantial family estates devolved on his only surviving daughter, Maria Winifred Francisca Shireburn, wife of Thomas Howard, 8th Duke of Norfolk.The Duchess of Norfolk died childless in 1754 when the Shireburn estates passed to the children of her aunt Elizabeth Shireburn, wife of Thomas Weld, of Lulworth.