His eldest son, the third Baronet, was a politician and held ministerial office as a Lord of the Admiralty from 1756 to 1762 and as Treasurer of the Navy from 1767 to 1770.

He was a noted diplomat, politician and colonial administrator and served as Viceroy of the Anglo-Corsican Kingdom from 1794 to 1796 and Governor-General of India from 1807 to 1813.

In 1797 Lord Minto assumed by Royal licence the additional surnames of Murray-Kynynmound after those of Elliot.

He was a prominent colonial administrator and served as Governor General of Canada from 1898 to 1904 and as Viceroy of India from 1905 to 1910.

[3][4] The heir apparent is the present holder's eldest son Gilbert Francis Elliot-Murray-Kynynmound, Viscount Melgund (born 1984).