Passage 4.34.10
Ἀσιναῖοι δὲ αὐτοὶ περὶ σφῶν οὕτω λέγουσι· κρατηθῆναι μὲν ὑπὸ Ἡρακλέους μάχῃ συγχωροῦσιν ἁλῶναί τε τὴν ἐν τῷ Παρνασσῷ πόλιν, αἰχμάλωτοι δὲ γενέσθαι καὶ ἀχθῆναι παρὰ τὸν Ἀπόλλωνα οὔ φασιν· ἀλλʼ ὡς ἡλίσκετο ὑπὸ τοῦ Ἡρακλέους τὸ τεῖχος, ἐκλιπεῖν τὴν πόλιν καὶ ἀναφυγεῖν ἐς τὰ ἄκρα τοῦ Παρνασσοῦ, διαβάντες δὲ ὕστερον ναυσὶν ἐς Πελοπόννησον γενέσθαι φασὶν Εὐρυσθέως ἱκέται, καὶ σφίσιν Εὐρυσθέα ἅτε ἀπεχθανόμενον τῷ Ἡρακλεῖ δοῦναι τὴν ἐν τῇ Ἀργολίδι Ἀσίνην.
The Asinaeans themselves relate their story as follows: they admit having been defeated in battle by Heracles and that their city on Parnassus was taken, but they deny that they became prisoners or were taken to Apollo. Rather, they say that when the city walls were being captured by Heracles, they abandoned their town and fled to the heights of Parnassus. Afterwards they crossed by ships into the Peloponnese, became suppliants of Eurystheus, and Eurystheus, because of his hatred for Heracles, gave them Asine in Argolis.