Blazon Arms: Quarterly: 1st & 4th, Barry of eight Argent and Gules, a Cross-Flory Sable (Gower); 2nd, Azure, three Laurel-Leaves Or (Leveson); 3rd, Gules, three Clarions Or (Granville), in the centre fess point a Crescent for difference.

As his eldest son, Philip, predeceased him, the peerage was eventually bestowed on his namesake grandson, George, who was made Baron Carteret, of Hawnes in the County of Bedford, in 1681, with remainder to his brothers.

He was the younger half-brother of George Granville Leveson-Gower, 1st Duke of Sutherland, and the uncle of Francis Egerton, 1st Earl of Ellesmere.

As of 2017[update], the titles are held by his grandson, the sixth Earl, who succeeded his father in 1996.

Frederick Leveson-Gower, younger son of the first Earl, was Member of Parliament for Derby, Stoke-upon-Trent and Bodmin.

The heir apparent is the present holder's son, Granville George James Leveson-Gower, Lord Leveson (born 1999).