 Integrity set sail on 8 June, heading south along the New South Wales coast. A week later she encountered heavy storms and winds while passing Cape Howe and was unable to proceed. Houstoun ordered a return to Port Jackson, which was regained on 19 June. While in port, one of Integrity's crew, a sailor named William Dwyre, was removed from the ship and sent to prison for having refusing to carry out his duties while aboard. There was no sign of Contest and she was presumed lost at sea.
