The Duke's two elder sons, George Pelham-Clinton, Lord Clinton, and Henry Pelham-Clinton, Earl of Lincoln, both predeceased him. He was therefore succeeded by his third son, the third Duke. He was a Major-General in the Army. On his early death the titles passed to his son, the fourth Duke. He served as Lord Lieutenant of Nottinghamshire from 1809 to 1839. He was succeeded by his son, the fifth Duke. He was a prominent politician and held office as Chief Secretary for Ireland, as Secretary of State for the Colonies and as Secretary of State for War. His eldest son, the sixth Duke, briefly represented Newark in the House of Commons. The Duke married Henrietta Adele, the wealthy heiress and daughter of Henry Thomas Hope.