Yes, they were Ceto and Phorcys.
Medusa's parents never died, her parents were the ancient sea deities Phorkys and Ketô.
Medusa is a Gorgon and Gorgon's are monster's. Monsters they don't die they disintegrate and reform and Medusa's parents are dead.
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Medusa was the daughter of the ancient sea deities, Phorcys and Ceto.
Phorcys and Ceto
Medusa and Poseidon.
Medusa was the daughter of Phorcys and Ceto; a sea god and a sea goddess.
Phorcys and Ceto.
That is unknown, but Medusa got along very well with her sisters Sthenno and Euryale.
Most likely, yes.
Probably her parents named her and her siblings.
No, Phorcys and Ceto were godly.