Libya was the daughter of Epaphus and Memphis who gave her name to Libya. She bore the twins Belus and Agenor to Poseidon and seems to have a name that means something like 'rain', from libas, 'anything that drops or trickles', 'spring'.
This could be a propitious name for a country or land where water was precious. The actual origin of the name of Libya is uncertain. The Greeks regarded it (or a region so called) as one of the three parts of the world, the other two being Europe and Asia.