In the summer of 1810, Parker sailed for the Indian Ocean to reinforce the squadron operating against Île de France, where he participated in the capture of the island in December 1810.

In 1812, Menelaus was part of the blockade of Toulon in the Mediterranean and operated against coastal harbours, shipping and privateers off the southern coast of France with some success.

In 1814, following the French surrender, Menelaus was assigned to the North American Station and sent to Bermuda, which had been identified in 1783, on the independence of the United States, as potentially Britain's most important North American naval base (safer than Halifax against both naval and overland attack, and in a position, 640 miles off North Carolina, to dominate the Atlantic Seaboard) where the Royal Navy had been operating since 1795 from St. George's Town (with the Admiralty House nearby at Mount Wyndham, in Hamilton Parish), at the East End, while the Royal Naval Dockyard was under construction at the West End.

In August 1814, a force of 2,500 soldiers under General Robert Ross freed from the Peninsular War arrived in Bermuda aboard HMS Royal Oak, three frigates, three sloops and ten other vessels, intended to be used for diversionary raids along the coasts of Maryland and Virginia.

In response to Sir George Prévost's request for an attack in retaliation for the "wanton destruction of private property along the north shores of Lake Erie" by American forces under Colonel John Campbell in May 1814, the most notable being the Raid on Port Dover[1]) to draw United States forces away from the Canadian border.,[2][3] they were instead used, along with the naval and military units already on the station, to strike at Washington, D.C. in the Chesapeake Campaign, resulting in British victory at the Battle of Bladensburg, the Burning of Washington, and the Raid on Alexandria, and a failed attempt on Baltimore.

From Bermuda, Parker joined the British forces in the Chesapeake Bay under Admiral Sir George Cockburn and took part in the blockade of Baltimore.

14 men under Parker's command died at Caulk's Field, 12 of which remain buried in unmarked graves at the site of the battle.

The Americans returned Captain Parker's shoe which had been lost on the battle field with his name and makers number written in it under the assumption that he had been honourably wounded.

Parker's body was sent to St. George's, Bermuda, and buried at St. Peter's Church on the 14 October 1814 (the funeral service being conducted by Chaplain Rennell of HMS Albion), but at the request of one of his executors, Captain Edmund Palmer, was subsequently exhumed on the 2 April 1815 (by Rector of St. George's Philip Hudson), and transported to England aboard the frigate HMS Hebrus to be re-interred at the family vault at St Margaret's, Westminster, a public funeral with military honours being held on both occasions.