Hesiod, Homeric Hymns, and Homerica
The Contest of Homer and Hesiod
The Divination by Birds (fragments)
The Precepts of Chiron (fragments)
The Idaean Dactyls (fragments)
The Catalogues of Women and Eoiae (fragments)
The Shield of Heracles (480 lines)
The Marriage of Ceyx (fragments)
Works Attributed to Homer The Homeric Hymns
XIV. To the Mother of the Gods (6 lines)
XV. To Heracles the Lion-Hearted (9 lines)
XVII. To the Dioscuri (5 lines)
XXIII. To the Son of Cronos, Most High (4 lines)
XXV. To the Muses and Apollo (7 lines)
XXX. To Earth the Mother of All (19 lines)
XXXIII. To the Dioscuri (19 lines)
The War of the Titans (fragments)
The Story of Oedipus (fragments)
Non-Cyclic Poems Attributed to Homer
The Expedition of Amphiaraus (fragments)
The Taking of Oechalia (fragments)
The Battle of Frogs and Mice (303 lines)
Of the Origin of Homer and Hesiod, and of their Contest (aka The Contest of Homer and Hesiod)
Proclus, Chrestomathia, ii:
After the "Returns" comes the "Odyssey" of Homer, and then the "Telegony" in two books by Eugammon of Cyrene, which contain the following matters. The suitors of Penelope are buried by their kinsmen, and Odysseus, after sacrificing to the Nymphs, sails to Elis to inspect his herds. He is entertained there by Polyxenus and receives a mixing bowl as a gift; the story of Trophonius and Agamedes and Augeas then follows. He next sails back to Ithaca and performs the sacrifices ordered by Teiresias, and then goes to Thesprotis where he marries Callidice, queen of the Thesprotians. A war then breaks out between the Thesprotians, led by Odysseus, and the Brygi. Ares routs the army of Odysseus and Athena engages with Ares, until Apollo separates them. After the death of Callidice Polypoetes, the son of Odysseus, succeeds to the kingdom, while Odysseus himself returns to Ithaca. In the meantime Telegonus, while travelling in search of his father, lands on Ithaca and ravages the island: Odysseus comes out to defend his country, but is killed by his son unwittingly. Telegonus, on learning his mistake, transports his father's body with Penelope and Telemachus to his mother's island, where Circe makes them immortal, and Telegonus marries Penelope, and Telemachus Circe.
Eustathias, 1796. 35:
The author of the "Telegony", a Cyrenaean, relates that Odysseus had by Calypso a son Telegonus or Teledamus, and by Penelope Telemachus and Acusilaus.