Proclus, Chrestomathy (in Photius, Library 319a34)

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λέγει δὲ καὶ τὰ ὁνόματα καὶ τὰς πατρίδας τῶν πραγματευσαμένων τὸν ἐπικὸν Κύκλον. λέγει δὲ καὶ περί τινων Κυπρίων ποιημάτων, καὶ ὡς οἱ μὲν ταῦτα εἰς Στασῖνον ἀναφέρουσι Κύπριον, οἱ δὲ Ἡγησῖνον τὸν Σαλαμίνιον αὐτοῖς ἐπιγράφουσιν, οἱ δὲ Ὅμηρον γράψαι, δοῦναι δὲ ὑπὲρ τῆς θυγατρὸς Στασίνωι, καὶ διὰ τὴν αὐτοῦ πατρίδα Κύπρια τὸν πόνον ἐπικληθῆναι.

He also gives the names and birthplaces of those who authored the epic Cycle. He speaks about a certain poem, the Cypria, and how some attribute it to Stasinus the Cyprian, others ascribe it to Hegesinus of Salamis, while others say that Homer wrote it and gave it to Stasinus as a dowry for his daughter, and because of his birthplace the work has been called the Cypria.

Relevant guides Homer