Lucy, Countess of Downe died 6 April 1656, and was buried at Cubberley. Just before Downe's death his only child, Elizabeth (born at Cogges 15 April 1645), married Sir Francis Lee, 4th Baronet. Her second husband was Robert Bertie, 3rd Earl of Lindsey; and the Enstone property descended through her to the Viscounts Dillon. The peerage passed to Pope's uncle, Thomas Pope, 3rd Earl of Downe.