The frigate Phoebe, commanded by Captain Robert Barlow, captured the privateer Heureux in the English Channel off Bordeaux on 5 March 1800.

[2] Eleven former British sailors were found serving among Heureux's crew, and were placed in irons for transportation back to England.

Barlow described Heureux as "the most complete flush deck ship I have ever seen, copper fastened, highly finished and of large dimensions".

[1] Three months after her arrival, on 28 May, some 80 leagues (390 km) to windward of Barbados, Heureux chased down and captured the 16-gun French sloop Egypte from Guadeloupe.

[5] On 16 August, Heureux was between Martinique and St. Lucia when she saw the brig Guachapin in an unequal fight against a Spanish letter of marque armed with eighteen brass 32 and 12-pounder guns.

[7] On 23 September 1803 Heureux represented the Royal Navy at the capture of the Batavian Republic's colony at Berbice.

Heureux then captured the French privateer and blockade runner Flibustier (or Flebustier) 40 leagues (190 km) from Barbados on 26 February 1804.

[9] On 25 June, Heureux recaptured the English ship Esther, which was carrying a cargo of coals and potatoes.

[11] Then on 9 December Heureux, now under Captain George Younghusband, captured the Spanish merchant ship San Sebastian, laden with wine.

[11][12] These may have been two of the three Spanish vessels arrived at Barbados on 9 January 1805, prizes to Heureux and HMS Amelia (1796).

On 31 May 1805, off Cape Nicola Mole, Heureux captured the French felucca privateer Desiree.

[14] On 28 December Heureux and Kingfisher captured the Spanish merchant brig Solidad, which was taking brandy and wine from Cadiz to Vera Cruz.

[15] Early in the new year, on 15 January 1806, Heureux captured the Spanish letter of marque Amelia about four miles (6.4 km) off Trinidad.

Agamemnon maneuvered to cut off the schooner and both British ships came alongside the prize, with Heureux taking possession.

Heureux was ordered to transfer her position from the West Indies to Halifax, Nova Scotia in the spring of 1806.