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You are correct she was the wrong vessel, below is given the details and history of the ship.

She was built as 4th Rate by Joseph Nye & George Moore at East Cowes for the Royal Navy.
24 December 1695 ordered.
24 November 1698 launched as HMS JERSEY (III)
Tonnage 676 ton, dim. 40.3 x 10.4 x 4.2m.
Armament: 54 guns.
Crew 230.
1701 Commissioned under command of Captain Robert Staleton.

First in service in the English Channel off Dunkirk.
1702 Set sail for New York, returned back to the U.K. in 1703.
1705 She was in service in the North Sea.
1706 She set sail for the West Indies.
17 July 1711 in auction off Cartagena, Columbia.
August 1715 until March 1716 under repair at Plymouth.
1717 Recommissioned and a unit of Bing’s Fleet for the Baltic.
1721 – 1722 guard ship at Plymouth.
August 1731 hulked at Plymouth.
02 March 1763 on Admiralty orders to be broken up, but instead deliberately sunk at Plymouth on 27 May 1763.

Jersey 2001 37p sg?, scott?

Source: British Warships in the Age of Sail 1603-1714 by Rif Winfield.

HMS Jersey of 1698 was built by Moore & Nye at East Cowes, Isle of Wight. She was a 48-gun fourth-rate line of battleship launched on 6th August 1698. The Jersey was eighteen months behind schedule, and six months earlier Joseph Nye had absconded leaving large debts.

HMS Jersey went on to spend a long and illustrious career in the West Indies as a trade protection vessel, being involved in many battles against the French. By 1731 she had become a hulk, but lasted another 30 years before finally sinking in 1763.

Meanwhile Joseph Nye went to Russia, where he became a friend and shipbuilding advisor to Tsar Peter the Great. When Peter died Joseph was given a privileged position in the Tsar’s great funeral procession, holding the strings of a canopy over the coffin. The Tsarina Catherine granted Joseph a pension of 500 roubles per year.

Nye returned to England and in 1753 was buried at Deptford.