The brother of the Goddesses Selene and Eos may be the natural father of what God?
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Hyrmine In Greek mythology, Hyrmine (Ὑρμίνη ) was a daughter of Neleus, Nycteus, or, according to others, of Epeius and Anaxiroe, and sister of Alector (though others assert she was an only child). She was the wife of Phorbas and by him the mother of the Argonauts Augeas, Actor and Tiphys. The natural father of Augeas by her may have been Helios.
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Helios Helios ( ; Ancient Greek: Ἥλιος "Hēlios"; Latinized as "Helius"; Ἠέλιος in Homeric Greek) was the personification of the Sun in Greek mythology. He is the son of the Titan Hyperion and the Titaness Theia (according to Hesiod), also known as Euryphaessa (in Homeric Hymn 31) and brother of the goddesses Selene, the moon, and Eos, the dawn.
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Kourotrophos Kourotrophos (Greek: κουροτρόφος , "child nurturer") is the name that was given in ancient Greece to gods and goddesses whose properties included their ability to protect young people. Such gods called by this adjective included Athena, Apollo, Hermes, Hecate, Aphrodite, Artemis, etc., and were usually depicted holding a baby in their arms.
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Pleisthenes (son of Atreus) Pleisthenes (Ancient Greek: Πλεισθένης ), in Greek mythology,  was the son of Atreus and Aerope. According to Hesiod, Pleisthenes married Cleolla, daughter of Dias, and is the father of Agamemnon, Menelaus, and Anaxibia. Aeschylus also followed this tradition when he called the Atreidai "the race of Pleisthenes" (τὸ Πλεισθένους γένος).
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Menelaus In Greek mythology, Menelaus ( ; Greek: Μενέλαος , "Menelaos", from μένος "vigor, rage, power" and λαός "people," "wrath of the people") was a king of Mycenaean (pre-Dorian) Sparta, the husband of Helen of Troy, and a central figure in the Trojan War. He was the son of Atreus and Aerope, brother of Agamemnon, king of Mycenae and, according to the "Iliad", leader of the Spartan contingent of the Greek army during the War. Prominent in both the "Iliad" and "Odyssey", Menelaus was also popular in Greek vase painting and Greek tragedy, the latter more as a hero of the Trojan War than as a member of the doomed House of Atreus.
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Edonus In Greek mythology, Edonus (Ancient Greek: Ἠδωνός ) was the ancestor of the Edonians in Thrace and Thracian Macedonia. He was the son of Ares (god of war) and Calliope (muse of epic poetry). The names "Edonus, Edonian, Edonic" is therefore used also in the sense of "Thracian," and as Thrace was one of the principal seats of the worship of Dionysus, it further signifies "Dionysiac" or " Bacchantic."
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Thespia (mythology) In Greek mythology, Thespia (Greek: Θέσπια) was the daughter of the river-god, Asopus and Metope, daughter of Ladon, also a river-god. Thespiae (the city west of Thebes) was named after her.
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Hephaestus Hephaestus ( , or ; eight spellings; Greek: Ἥφαιστος "Hēphaistos") is the Greek god of blacksmiths, metalworking, carpenters, craftsmen, artisans, sculptors, metallurgy, fire, and volcanoes. Hephaestus' Roman equivalent is Vulcan. In Greek mythology, Hephaestus was the son of Zeus and Hera, the king and queen of the gods. In another version, he was Hera's parthenogenous child, rejected by his mother because of his deformity and thrown off Mount Olympus and down to earth.
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Zeus Zeus ( ; Greek: Ζεύς "Zeús" ] ) is the sky and thunder god in ancient Greek religion, who ruled as king of the gods of Mount Olympus. His name is cognate with the first element of his Roman equivalent Jupiter. His mythologies and powers are similar, though not identical, to those of Indo-European deities such as Indra, Jupiter, Perun, Thor, and Odin.
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Tantalus Tantalus (Ancient Greek: Τάνταλος , "Tántalos") was a Greek mythological figure, most famous for his eternal punishment in Tartarus. He was made to stand in a pool of water beneath a fruit tree with low branches, with the fruit ever eluding his grasp, and the water always receding before he could take a drink. He was the father of Pelops, Niobe and Broteas, and was a son of Zeus and the nymph Plouto. Thus, like other heroes in Greek mythology such as Theseus and the Dioskouroi, Tantalus had both a hidden, divine parent and a mortal one.
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Porthaon In Greek mythology, Porthaon (Greek: Πορθάων, genitive Πορθάονος ), sometimes referred to as Parthaon or Portheus (seems related to the verb "portheō" and "perthō", "destroy'), was the king of Calydon, husband of Euryte and father of Oeneus, Agrius, Alcathous, Melas, Leucopeus and Sterope, also of the Argonaut Laocoön by an unnamed female servant, or by Euryte too. He was the son of Agenor (by Epicaste) who was the son of Pleuron who was the son of Aetolus who was the son of Endymion. He was the brother of Demonice (also known as Demodice).
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Dimoetes In Greek mythology, Dimoetes (Διμοίτης) was a brother of Troezen, thus presumably a son of Pelops and Hippodamia. He was married to Evopis, daughter of Troezen.
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Ourea In Greek mythology, the Ourea (Ancient Greek: Oὔρεα "mountains," plural of Oὖρος ) were progeny of Gaia, members of the Greek primordial deities, who were the first-born elemental gods and goddesses. According to Hesiod:
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Phorcys In Greek mythology, Phorcys ( ; Ancient Greek: Φόρκυς , "Phorkus") is a primordial sea god, generally cited (first in Hesiod) as the son of Pontus and Gaia. According to the Orphic hymns, Phorcys, Cronus and Rhea were the eldest offspring of Oceanus and Tethys. Classical scholar Karl Kerenyi conflated Phorcys with the similar sea gods Nereus and Proteus. His wife was Ceto, and he is most notable in myth for fathering by Ceto a host of monstrous children. In extant Hellenistic-Roman mosaics, Phorcys was depicted as a fish-tailed merman with crab-claw fore-legs and red-spiked skin.
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Aeolus (son of Poseidon) In Greek mythology, Aeolus ( ; Ancient Greek: Αἴολος "Aiolos" ] , Modern Greek: ] "quick-moving, nimble") was a son of Poseidon by Arne, daughter of Aeolus. He had a twin brother named Boeotus.
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Megareus of Thebes Megareus (or Menoeceus) of Thebes was a warrior of Thebes, who figures in the war of the "Seven Against Thebes" - the struggle between Eteocles and Polynices, the twin sons of Oedipus, for the throne of Thebes. He was the son of Eurydice of Thebes and Creon, uncle of the two princes. In traditional Greek mythology, Megareus is known for his large stature, and is considered an anthropomorphic representation of his father's pride by some literary scholars.
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Titan (mythology) In Greek mythology, the Titans (Greek: Τιτάν , "Titán", : Τiτᾶνες , "Titânes") and Titanesses (or Titanides; Greek: Τιτανίς , "Titanís", : Τιτανίδες , "Titanídes") were members of the second generation of divine beings, descending from the primordial deities and preceding the Olympian deities. Based on Mount Othrys, the Titans most famously included the first twelve children of the primordial Gaia (Mother Earth) and Uranus (Father Sky). They were giant deities of incredible strength, who ruled during the legendary Golden Age, and also comprised the first pantheon of Greek deities.
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Enorches In Greek mythology, Enorches ("Enorchês") was a son of Thyestes by his sister Daeta. He was born out of an egg and built a temple to Dionysus, who was hence called "Dionysus Enorches", though "Enorches" may also describe the god as the dancer.
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Phanes (mythology) Phanes (Ancient Greek: Φάνης, genitive Φάνητος ), or Protogonos (Greek: Πρωτογόνος, "First-born"), was the mystic primeval deity of procreation and the generation of new life, who was introduced into Greek mythology by the Orphic tradition; other names for this Classical Greek Orphic concept included Ericapaeus (Ἠρικαπαῖος or Ἠρικεπαῖος "power") and Metis ("thought").
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Pierus (father of Hyacinth) In Greek mythology, Pierus or Pieros (Ancient Greek: Πίερος ) was the son of Thessalian Magnes. He was the lover of muse Clio and father of Hyacinth in some accounts, and Rhagus .
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Iamus In Greek mythology, Iamus was the son of Evadne, a daughter of Poseidon, sired by Apollo. Shamed by her pregnancy, Evadne exposed the child to the elements. He survived, as two snakes were feeding him with honey. He was then found alive lying among violets, and was named Iamus (from ίον, "violet") by Evadne. When he grew up, he descended into the waters of Alpheios and invoked Poseidon, his grandfather, and Apollo, his father, asking them to reveal his destiny to him. Apollo instructed him to go to Olympia. Granted the gift of prophecy by Apollo, he founded the Iamidae, a family of priests from Olympia.
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Dardanus In Greek mythology, Dardanus ( ; Greek: Δάρδανος) was a son of Zeus and Electra (daughter of Atlas) and founder of the city of Dardanus at the foot of Mount Ida in the Troad.