[2] Hornet shared with Bellona, America, Severn, and Carysfort in the capture of the Lust en Vlyt on 22 August.

On 4 February 1796 Hornet was in company with the hired armed cutter Grand Falconer when they recaptured the Portuguese brig Diana.

[1] On 10 March 1798 the Admiralty published a list of six vessels that Daedalus, under Captain Henry Lidgbird Ball, and Hornet had captured off Gorée:[7] Daedalus, Hornet, and the letter of marque slave ships Ellis and Saint Ann shared, by agreement, in the capture of Quaker (December 1797) and Ocean (January 1798).

The British observed a convoy of French coasters, with an armed schooner as escort, sailing towards Vieux-Fort, Guadeloupe.

In March, Hornet participated in Rear Admiral Duckworth's successful attack on the islands of St. Bartholomew and St. Martin.

[16] The 32-gun frigate Proselyte, Hornet, and Drake stayed at St. Martin to secure the island and to embark the garrison on 26 March, while the rest of Duckworth's force went on to St Thomas.

[16] The proceeds of the property seized at St. Bartholomew, St. Martin, St. Thomas, and St. Croix between 15 March and 17 April was paid out in January 1804.

On 20 September Hornet, the schooner Netley, and 200 troops entered the Demerara River and took possession of Fort William Frederick.

[1] Paid off in 1804 from active service, Hornet was fitted at Plymouth between September 1804 and July 1805 for the Medical Military Staff, and was commissioned in June 1805 under Lieutenant Charles Williams as a hospital ship in the Isles of Scilly.

The "Principal Officers and Commissioners of His Majesty's Navy" first offered the "Hornet sloop, of 429 tons", lying at Plymouth, for sale on 30 January 1817.

[1][e] From November 1795 to September 1797, Richard Spencer, a future hero of the Napoleonic Wars and Australian pioneer, served as a midshipman on Hornet.