HMS Fame was a 74-gun third rate ship of the line of the Royal Navy, launched at Deptford on 1 January 1759. She was designed by William Bateley, and was the only ship ever built to her draught. In 1762, while in company with Lion, she captured the French 10-gun ship Ecureuil. On 20 January 1768, she was driven from her moorings at Plymouth, Devon onto St. Nicholas Island and was severely damaged. She collided with the Irish ships Freemason and Valentine. The former was also driven ashore on St. Nicholas Island, the latter sank in the Hamoaze. HMS Fame was refloated on 5 February and taken in to Plymouth for repairs.