On her first voyage, Albion, Eber Bunker, master, left Britain on 20 February 1799, bound for New South Wales.

[a] Albion arrived in Port Jackson (Sydney), on 29 June 1799,[6] with a cargo of salted pork after a voyage of 3 months and 15 days.

Albion left Port Jackson in September bound for the whale fisheries around New South Wales (NSW) and New Zealand (NZ).

At some point Albion sailed to Tahiti at the request of Governor Philip Gidley King.

[4] [5] Returning to Port Jackson on 6 July 1803, Albion, Captain Eber Bunker, went on a second whaling expedition along the Australian coast.

[5] She arrived at Port Jackson on 19 August[6] under the command of Captain Cuthbert Richardson after a voyage of 4 months and 17 days carrying a cargo of general merchandise for Robert Campbell (1769-1846).

[5] She arrived at Hobart Town, then part of the Colony of New South Wales, with a cargo of general merchandise on 21 December 1809 after a voyage of 3 months and 22 days.

[21][22][c] Albion's destination after leaving Hobart Town was "the whale fishery",[22] and she was reported as at the Bay of Islands, New Zealand, in February 1810.

[26] Albion was next reported in the Straits of Timor in August 1811, sailing for England with a "full ship" (of whale oil).

In February 1813, Albion was well in the South Sea fishery, as were Inspector, Baroness Longueville, Cumberland, Good Sachem, Ocean, Thames, and Venus.

Lloyd's Register for 1816 showed her master as P. Skelton, changing to C. Dodds, her owner as Wallace & Co., and her trade as London-Tobago.