Molloy's next ship was the 64-gun , which he commissioned in 1781. He was with Sir George Brydges Rodney during the Dutch West Indies campaign in early 1781, and was present at the capture of Sint Eustatius on 3 February, and at the Battle of Fort Royal on 29/30 April. He returned to North America with Sir Samuel Hood's fleet, and was present at the Battle of the Chesapeake on 5 September 1781. Molloy was commended for his efforts during the battle, being described as having 'behaved most gallantly', and for having assisted . Molloy returned to the West Indies with Hood, arriving there on 5 December 1781. He took part in the Battle of St. Kitts on 25 and 26 January 1782. Having served in many of the naval engagements of the American War of Independence, Molloy sailed to Jamaica in May that year, and then back to Britain with a convoy, where he paid "Intrepid" off in August.