Lucifer (Greek Eosphorus, "Dawn-bringer") is the personification of the Morning Star in Greco-Roman mythology. In Hesiod he is the star born to Eos (Dawn) and the Titan Astraeus, brother of the winds. In Roman poetry, especially Ovid, Lucifer is the last star to fade at sunrise and the one who opens the gates for Aurora. Apollodorus and Ovid also make him the divine father of the mortal kings Ceyx and Daedalion.
Adapted from Wikipedia, "Phosphorus (morning star)" · CC BY-SA 4.0
I.The star of dawn
Hesiod names Eosphorus among the children of Eos and Astraeus, alongside Zephyrus, Boreas, Notus, and the other stars that crown heaven.
Ovid treats Lucifer as the morning star that vanishes when Phoebus rises and Aurora opens her purple halls — the luminous figure whose radiance Ceyx inherited.
II.Mortal progeny
Through Daedalion, Lucifer stands in the maternal line of Odysseus: Daedalion's daughter Chione bore Autolycus to Hermes and Philammon to Apollo; Autolycus was grandfather of Odysseus.
Apollodorus makes Lucifer father of Ceyx, husband of Alcyone, whose prideful comparison of themselves to Zeus and Hera led to their transformation into halcyon birds.