This small mountain seems to have been named by Thomas Archer, according to this obituary in the Australian Town and Country Journal (20 Dec 1905):
From Jimbour he set off, accompanied by Mr. Arthur Chauvelle and a black boy, to find a way to Fitzroy Downs, and after a fortnight's scrambling through scrubs and over mountains, one of which he named Mount Horrible, they emerged upon Fitzroy Downs, and saw Mount Abundance in the distance, and then returned half-starved to Darling Downs, having for a week existed on black ducks and tea.
Black ducks and tea?