The British Navy Board engaged her to transport convicts from Cork in Ireland to the penal colony of New South Wales in Australia for one voyage from 1800 to 1801.
[1][3] The armed transports Dover and Cecilia captured Nostra Senora da Luzet Santa Anna in 1799, during the French Revolutionary Wars.
[2] On 9 April 1799, the Navy Board engaged the renamed Anne and licensed her in London for a single voyage transporting convicts.
[7] Anne was one of the vessels in the convoy at the action on 4 August when HMS Belliqueux and the East Indiaman Exeter captured the French frigates Concorde and Médée.
A squadron of three French frigates had attacked the convoy of East Indiamen that Anne was accompanying, only to suffer an embarrassing defeat.
[12] Actually, that vessel appears to be the Ann that transported convicts in 1809-10, and for her return trip carried cargo for the EIC from Calcutta to Britain (1810–11).