Sir Stephen Glynne, 3rd Baronet (7 February 1665 – 29 April 1729). Glynne married Sophia Evelyn (his sister-in-law), by whom he had three sons, the 4th, 5th, and 6th Baronets.
Sir Stephen Glynne, 4th Baronet (c. 1696 – September 1729)
Sir William Glynne, 5th Baronet (c. 1710 – August 1730). Glynne died unmarried at Aix-la-Chapelle.
Sir Stephen Glynne, 7th Baronet (12 May 1744 – 1 April 1780). Glynne was educated at Queen's College, Oxford and took holy orders, becoming rector of Hawarden. He married Mary Bennett in 1779, and died of a ruptured blood vessel while hunting the next year.
Sir Stephen Richard Glynne, 8th Baronet (May 1780 – 5 March 1815). Glynne was the posthumous son of the 7th Baronet. He was educated at Eton and Christ Church, Oxford. Sir Stephen was an amateur architect and an agriculturalist. In 1806, he married Mary Griffin, daughter of Lord Braybrooke. He died at Nice in 1815 and was succeeded by his son Stephen.