replacing Kingsmill. Polyphemus was with the fleet under the command of Admiral Sir Hyde Parker that bombarded Copenhagen on 2 April. The British objective was to break up the second League of Armed Neutrality, which also included Sweden and Prussia, that Tzar Paul I of Russia had established. During the battle, Polyphemus and came to the assistance of the 50-gun fourth rate , which was being hard-pressed by the Danes' 56-gun ship Provesteenen, and succeeded in silencing her. Polyphemus lost six men killed, and 25 men wounded. In 1847 the Admiralty awarded the Naval General Service Medal with clasp "Copenhagen 1801" to all surviving claimants from the battle. The division of the North Sea fleet commanded by Admiral Thomas in Polyphemus returned to Yarmouth from the Baltic Sea on 13 July and then sailed to join Admiral Dickson's squadron blockading the Dutch fleet in the Texel. At some point Graves transferred his flag to . In April 1802 Polyphemus went into ordinary, following the Treaty of Amiens that ended the war. Napoleonic Wars After war with France resumed in 1803, Polyphemus underwent fitting out at Chatham between March and September 1804. Captain Robert Redmill recommissioned her in July for the Channel, but apparently was only temporarily in command. Polyphemus joined the Cadiz squadron under Admiral John Orde. She shared with and in the proceeds from the capture on 26 November of the Spanish ship Virgen del Rosario. In late November or early December (different records disagree), Polyphemus, under Lawford's command, captured several Spanish ships. One was the San Joseph (alias Favourite). The snow Saint Josef had been sailing from La Guayra to Cadiz with a cargo of indigo, cocoa, cochineal, and cotton. Another was the Santo Christo, which had been sailing from Montevideo to Cadiz with a cargo of hides and copper. She also captured the St Edward. The St Edward (or Edward), was sailing from Vera Cruz to Cadiz with a cargo of cocoa, cochineal, and cotton, and $98,539. Lastly, Polyphemus captured the Bon Air, which was sailing from Vera Cruz to Cadiz with a cargo of cocoa, indigo, and cochineal, and $20,000. Three days later Polyphemus and captured the Spanish frigate Santa Gertruyda off Cape St Mary. A frigate of 40-guns, she was armed only with 14, and was sailing from Peru and Mexico to Coruna when Polyphemus captured her. Polyphemus and Santa Gertruyda separated in a gale