Passage 4.34.9
Ἀσιναῖοι δὲ τὸ μὲν ἐξ ἀρχῆς Λυκωρίταις ὅμοροι περὶ τὸν Παρνασσὸν ᾤκουν· ὄνομα δὲ ἦν αὐτοῖς, ὃ δὴ καὶ ἐς Πελοπόννησον διεσώσαντο, ἀπὸ τοῦ οἰκιστοῦ Δρύοπες. γενεᾷ δὲ ὕστερον τρίτῃ βασιλεύοντος Φύλαντος μάχῃ τε οἱ Δρύοπες ὑπὸ Ἡρακλέους ἐκρατήθησαν καὶ τῷ Ἀπόλλωνι ἀνάθημα ἤχθησαν ἐς Δελφούς· ἀναχθέντες δὲ ἐς Πελοπόννησον χρήσαντος Ἡρακλεῖ τοῦ θεοῦ πρῶτα μὲν τὴν πρὸς Ἑρμιόνι Ἀσίνην ἔσχον, ἐκεῖθεν δὲ ἐκπεσόντες ὑπὸ Ἀργείων οἰκοῦσιν ἐν τῇ Μεσσηνίᾳ, Λακεδαιμονίων δόντων καὶ ὡς ἀνὰ χρόνον οἱ Μεσσήνιοι κατήχθησαν οὐ γενομένης σφίσιν ὑπʼ αὐτῶν ἀναστάτου τῆς πόλεως.
The Asinaeans originally dwelt around Mount Parnassus, neighboring the Lycoreans. They had received the name Dryopes from their founder, which they preserved even after migrating into the Peloponnesus. Later, during the third generation, when Phylas was king, the Dryopes were defeated by Heracles in battle, brought as an offering to Apollo to Delphi, and then transported to the Peloponnesus by Heracles, following an oracle from the god. There they first occupied Asine near Hermione; but driven out from there by the Argives, they settled in Messenia, with the Spartans granting them land after the Messenians eventually had been reduced—though the original city had not been destroyed by them.