He was succeeded by his son, William Lamb, 2nd Viscount Melbourne, who was a noted Whig politician and served as Prime Minister of the United Kingdom in 1834 and 1835–1841. He was Queen Victoria's first Prime Minister, and she greatly relied upon his wisdom and experience in her early days on the throne, to the point where Melbourne's political foes complained that he had enthralled her. Since Melbourne's mother had numerous lovers, it is very doubtful that he was in fact the first Viscount's son.
On his death, the titles passed to his younger brother, the third Viscount, who was a prominent diplomat. In 1839, nine years before he succeeded his brother, he was raised to the Peerage of the United Kingdom in his own right as Baron Beauvale, of Beauvale in the County of Nottingham. All five titles became extinct on his death in 1853.[2]
The Honourable George Lamb, fourth and youngest son of the first Viscount, was also a politician.[2]