She was Tom Thumb the Second.
Only by that assumption can we reconcile the Voyage statement with the Journal, which, having been written up at the time, is an authoritative source of information.
They left Sydney on March 25th, intending to stand off to sea till evening, when it was expected that the breeze would bring them to the coast.

But they drifted on a strong current six or seven miles southward, and being unable to land, passed the night in the boat.

Next day, being in want of water, but unable to bring the Tom Thumb to a safe landing place, Bass swam ashore.

While the filled cask was being got off a wave carried the boat shoreward and beached her, leaving the three on the beach with their clothes drenched, their provisions partly spoiled, and their arms and ammunition thoroughly wet.

The emptying and launching of the boat on a surfy shore, and the replacing of the stores and cask in her, were managed with some difficulty; and they ran for two islands for shelter late in the afternoon.