Proclus, Chrestomathia, ii
After the Returns comes the Odyssey of Homer, and then the Telegony in two books by Eugammon of Kyrene, 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 Polyxeinos and receives a mixing bowl as a gift; the story of Trophonius and Agamedes and Augeas then follows. He next sails back to Ithaka and performs the sacrifices ordered by Teiresias, and then goes to Thesprotis where he marries Kallidike, 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 Athene engages with Ares, until Apollon separates them. After the death of Kallidike, Polypoetes, the son of Odysseus, succeeds to the kingdom, while Odysseus himself returns to Ithaka. In the meantime Telegonos, while travelling in search of his father, lands on Ithaka and ravages the island; Odysseus comes out to defend his country, but is killed by his son unwittingly. Telegonos, on learning his mistake, transports his father's body with Penelope and Telemachos to his mother's island, where Kirke [Circe] makes them immortal, and Telegonos marries Penelope, and Telemachos Kirke.
Eustathias, 1796. 35
The author of the Telegony, a Kyrenaean, relates that Odysseus had by Kalypso a son Telegonos or Teledamos, and by Penelope Telemachos and Akusilaus.