ὄνομα, not accus., as if, ‘she is by name Arete;’ but, ‘Arete is her name.’ The only passages which are decisive point this way: Od.9. 366“Οὖτις ἐμοί γ᾽ ὄνομα”, Od.19. 409“τῷ δ᾽ Ὀδυσεὺς ὄνομ᾽ ἔστω ἐπώνυμον”, and 24. 306 “αὐτὰρ ἐμοί γ᾽ ὄνομ᾽ ἐστὶν Ἐπήριτος”.ἐπώνυμον refers properly to a surname, added with a special significance; as “Ἀλκυόνην καλέεσκον ἐπώνυμον, οὕνεκ᾽ ἄρ᾽ αὐτῆς” “μήτηρ ἀλκυόνος πολυπενθέος οἶτον ἔχουσα”
“κλαῖε” Il.9. 562.Here Arete is so called “καθὸ ἀρητῶς καὶ εὐκταίως ἐγεννήθη” Schol. Compare P. V.the use of “ἐπί-κλησιν” Od.5. 273.“Ἄρητος” is the name of one of Nestor's sons, Od.3. 414, of the grandfather of one of the suitors Od., 16. 395, and of a Trojan, Il.17. 517.In later times the name “Θεαίτητος” corresponds to it.
τοκήων refers here to ancestors and not to immediate parents; Alcinous being uncle as well as husband of Arete, as the genealogy shows: Rhexenor and Alcinous were both children of Nausithous, son of Poseidon and Periboea, and Arete is the daughter of Rhexenor.