Under the command of Richard Owen, she sailed from Cork, Ireland, on 10 April 1791 and arrived in Port Jackson, New South Wales on 26 September 1791.

After delivering her convicts, Queen sailed to Bengal, but her departure date from Port Jackson is currently unknown.

In 1794 a French squadron of three frigates captured Queen, Owen, master, sailing from San Domingo to London, and Donna Maria, Smitheam, master, from New Orleans, but a British squadron under Captain John Borlase Warren, in HMS Flora, recaptured them both.

In mentioning the two vessels, Warren described Queen as coming from Jamaica, and the brig Mary, from New Orleans to London, as carrying a cargo of furs, indigo, and so forth.

[3] However, Lloyd's List reported that the "Queen (transport), from the West Indies, foundered the 30th December in a Gale.— People saved".