[5] Under Michael Hogan's command, Marquis Cornwallis departed Cork, Ireland on 9 August 1795, and arrived at Port Jackson on 11 February 1796.

About a month into the voyage Hogan had to put down a mutiny, with the result that seven convicts and a sergeant, one of the mutineers, died of their injuries, including flogging.

On 18 June Marquis Cornwallis left Norfolk for Madras and Calcutta, having added, with Governor Hunter's permission, four 6-pounder guns and 140 cannonballs that had been salvaged from the wreck of Sirius.

Marquis Cornwallis sailed to Papua New Guinea and New Britain from Norfolk Island via the Coral and the Solomon Sea.

Hogan claimed, on 6 July, to have seen a great cloud of black, sulfurous smoke on the north-east coast of Bougainville Island.

[4] Marquis Cornwallis made a second voyage to Australia, carrying cattle to Sydney from the Cape of Good Hope.