Bombay Anna made two voyages for the British East India Company (EIC).

Anna first appeared in Lloyd's Register for 1797 (published in 1796), with M. Gilmore, master, changing to J. Horne, Law & Co., owner, and trade London–East Indies.

[8] On 20 November 1798 Captain James Horsburgh sailed from China, bound for England.

Anna reached St Helena on 26 August and arrived at The Downs 30 October.

The navy detached Anna and Minerva, and two Calcutta ships, Oxford and Troubridge from the rest of the transports and sent the four to the Cape of Good Hope to gather reinforcements.

They arrived at Mauritius too late to participate in the Invasion of Île de France in December.

He then became (acting) commander of HMS Acteon, which he sailed back to England with duplicate dispatches.

[16] On 4 July 1812 Anna was at Prince of Wales' Island when a fire broke out on shore.