(The), on Mount Parnassus; so called from the nymph Corycia. The Muses are sometimes called Corycides (4 syl.).
The immortal Muse To your calm habitations, to the cave Corycian ... will guide his footsteps.
Akenside: Hymn to the Naiads.
Source: Dictionary of Phrase and Fable, E. Cobham Brewer, 1894
More on Corycian Cave from Fact Monster: