 His service in the Revolutionary Wars was unremarkable, maintaining position in the blockading fleets of several ports where there was small opportunity for glory or action, especially in ships of the line, which he had soon graduated into.Following the Peace of Amiens, Moorsom took over the newly built "Revenge" and was placed under Admiral Collingwood's command in the Mediterranean, accompanying his admiral to Cadiz and thence to the battle of Trafalgar in October 1805.At the battle, "Revenge" was situated far to the rear of Collingwood's division, but due to her recent construction she was a very fast and agile ship and thus was able to overtake two ships in front of her, aiming at the Spanish flagship "Principe de Asturias" but missing her and becoming embroiled in a duel with the smaller "San Ildefonso" which drifted off damaged.