She made eight voyages for the British East India Company (EIC) as an "extra ship", i.e., under charter, between 1801 and 1817.

Ann was part of a convoy under escort by HMS Seahorse that also included General Stuart, Manship, Sarah Christiana, Northampton, Sovereign, Caledonia, Comet, Princess Mary, Varuna, Carron, Elizabeth, Monarch, and Friendship.

She was at Madeira on 29 September and Fernando de Noronha on 20 November, together with Tigris; Ann arrived at Madras on 2 March 1806.

She reached the Cape of Good Hope on 31 December and St Helena on 24 January 1807, before arriving at Purfleet on 15 April.

She was in convoy with Northampton, Sarah Christiana, Union, Diana, Sir William Pulteney, and Glory.

Homeward bound, she reached St Helena on 14 July, and arrived at Blackwall on 20 September.

Homeward bound, she was at Cochin on 31 December, reached the Cape on 19 February 1817 and St Helena on 14 March, and arrived at Northfleet on 29 May.

Ann, of 600 tons (bm), River-built in 1801, appeared in Lloyd's Register for 1818 with Reynolds, master, Masson & Co., owner, and trade London–India.

[3] In late 1819 the government appointed Captain Francis Augustus Collier of Liverpool to command the naval portion of a joint navy-army punitive expedition against the Joasmi (Al Qasimi) pirates at Ras al-Khaimah in the Persian Gulf.

The naval force consisted of Liverpool, Eden, Curlew, several EIC cruisers including HCS Aurora, and a number of gun and mortar boats.

The capture and destruction of the fortifications and ships in the port was a massive blow for the Gulf pirates.

Ann was last listed in Lloyd's Register in 1821 with Thatcher, master, W. Masson, owner, and trade London–Bombay.