| George Baillie | 12 May 1710 | 1712 |
| Francis Gwyn | 1711 | 1713 |
| John Hynde Cotton | 1713 | 1714 |
| Sir Archer Croft, bt | 14 May 1730 | |
| Sir Charles Gilmour, bt | 31 December 1743 | December 1744 |
| James Grenville | 1746 | December 1755 |
| Thomas Hay, Viscount Dupplin | 20 November 1746 | 1754 |
| Soame Jenyns | 1755 | 1780 |
| Richard Rigby | December 1755 | January 1760 |
| Edward Bacon | December 1759 | July 1765 |
| Sir Edmond Thomas, bt | 21 March 1761 | April 1763 |
| Wilmot Vaughan, Viscount Lisburne | 30 December 1768 | 28 February 1770 |
| William Northey | April 1770 | 24 December 1770 |
| Thomas Whately | January 1771 | January 1772 |
| Anthony Morris Storer | July 1781 | May 1782 |
| John Chetwynd Talbot | December 1781 | May 1782 |