''Lloyd's Register
continued to show Alexander
on the London-Jamaica trade, but this appears to be a case of the Register
not receiving updated information. The entry in the Register of Shipping'' for 1806 is better. Under the command of
Richard Brooks,
Alexander sailed from Portsmouth on 28 January 1806, with 42 female and 15 male convicts for the
colony of New South Wales. She was part of a convoy under the escort of that included the merchant transports
(Lady Madeleine) Sinclair,
Elizabeth,
Justina, and the fellow convict transport
Fortune. The vessels passed Madeira on 25 February and were reported all well on 5 March.
Lady Madeleine Sinclair was also carrying Captain
William Bligh, who was sailing to the colony to assume the governorship.
Alexander underwent repairs at
Rio after having run aground on a sand bank prior to reaching the port.
Alexander arrived at
Port Jackson on 20 August. One male convict and a child died on the voyage.
Alexander left Port Jackson on 10 November bound for England with a cargo of 300 tons of oil, 20 tons of fine salted skins, and 1500 furs. While exiting Port Jackson, she ran aground upon
Bennelong Point and after heaving off without damage continued on her way. When she returned to Britain, her owners appear to have sold her. Her new owners then returned her to the West Indies trade. According to ''Lloyd's Register
, they may have increased her armament, perhaps fearing the more intense presence of privateers in that theatre. The information in the Register of Shipping'' shows no change. ==Fate==