He was the son of William Charles Yelverton, 2nd Viscount Avonmore and Mary Reade, eldest daughter of John Reade. In 1814, he succeeded his father as viscount. He married, firstly, Jane Boothe, daughter of Thomas Boothe, in 1811 and had the following issue:.
Honorary Barry Charles Yelverton (1814–1853), heir apparent to the viscountcy, 1814-1853
Honorary Sydney Eloisa Yelverton (1817–1883), married 1839, Forster Goring, son of Sir Charles Forster Goring, 7th Baronet Honorary George Frederick William Yelverton (1818–1860), married 1857, Louisa Lenox Prendergast.
Heir apparent to the viscountcy, 1853-1860
Honorary
Mary Augusta Yelverton (1820–1843)
Honorary Adelaide Matilda Yelverton (1821–1884), married 1860, Lieutenant-General Humphrey Lyons, Indian Army
They had the following issue:
Honorary
Letitia Yelverton (1823-1897)
Honorary William Charles Yelverton, 4th Viscount Avonmore (1824–1883)
Honorary
Louisa Elizabeth Yelverton (1827-1915), married 1873, Rudolph Hermann Hultzsch
Honorary
Cecilia Priscilla Yelverton (1829–1854), married 1853, Colonel George Harrington Hawes
Honorary Walter Algionby Yelverton (1832–1844)
Honorary Anna Yelverton (1833-1910), married 1859, James Walker
Honorary
Maletta Yelverton (1839-1910), married 1868, Captain Crofton Thomas Burton Vandeleur
Lord Avonmore died in Dublin and was succeeded in the viscountcy by his third and only surviving son, William.
