HMS Dauntless was a Royal Navy ship at anchor in Gibraltar at the time HMS Indefatigable, Sir Edward Pellew commanding, was also visiting and Midshipman Hornblower stood for his examination for Lieutenant. The Board of Examination consisted of Captains Hammond (Calypso), Foster (Dreadnaught), and Harvey (Gibraltar dockyard). At the time of the examination, a fire ship attack occurred and as it happened, the three Captains and Hornblower boarded the same boat. Foster and Hornblower boarded the same fire ship and as they attempted to sail the fire ship out of harm's way, it came close to the Dauntless.
There was no other description of the Dauntless, so, it was of an unknown type of ship. The first historical HMS Dauntless wasn't launched until 1804.