HMS Grafton was a 70-gun third rate ship of the line of the Royal Navy. She was built by Swallow and Fowler, of Limehouse, London to the dimensions of the 1706 Establishment, and was launched on 9 August 1709. She spent some time under the command of George Forbes, 3rd Earl of Granard, and by 1718 she was commanded by Nicholas Haddock, and was present at the Battle of Cape Passaro. By 1738 she was stationed at the Nore, when she was commanded by Richard Lestock.