While Lucian is surely messing with us here, I think there are many tomes of Homeric scholarship set aright through this one paragraph.
Lucian, True History 2.20
“Two or three days had not yet passed when I approached the poet Homer at a moment when we both had free time and I was investigated the rest of the matters about him, especially where he was from. For this is still examined by us to this day. He said that he was not ignorant that some people say he his from Khios and others say Smyrna while a majority claims he is Kolophonian. But he was saying that he is in fact Babylonian and was not called Homer among his people but Tigranes. Later on, after he was a hostage [homêreusas] among the Greeks he changed his nickname.
When I asked him about the lines which were considered spurious and whether they had been written by him, he was claiming they were all his. For this reason I started to believe that the grammarians Zenodotus and Aristarchus were guilty of the most close-minded logic. Since he had responded sufficiently on these matters, I was asking him next why he made his poem start with the “rage of Achilles”. He said that it just leapt into his head that way without any prior thought. Then I was eager to know that thing, whether he wrote the Odyssey before the Iliad as many claim. He denied this.”
Οὔπω δὲ δύο ἢ τρεῖς ἡμέραι διεληλύθεσαν, καὶ προσελθὼν ἐγὼ Ὁμήρῳ τῷ ποιητῇ, σχολῆς οὔσης ἀμφοῖν, τά τε ἄλλα ἐπυνθανόμην καὶ ὅθεν εἴη. τοῦτο γὰρ μάλιστα παρ᾿ ἡμῖν εἰσέτι νῦν ζητεῖσθαι. ὁ δὲ οὐδ᾿ αὐτὸς μὲν ἀγνοεῖν ἔφασκεν ὡς οἱ μὲν Χῖον, οἱ δὲ Σμυρναῖον, πολλοὶ δὲ Κολοφώνιον αὐτὸν νομίζουσιν· εἶναι μέντοι γε ἔλεγεν Βαβυλώνιος, καὶ παρά γε τοῖς πολίταις οὐχ Ὅμηρος, ἀλλὰ Τιγράνης καλεῖσθαι· ὕστερον δὲ ὁμηρεύσας παρὰ τοῖς Ἕλλησιν ἀλλάξαι τὴν προσηγορίαν. ἔτι δὲ καὶ περὶ τῶν ἀθετουμένων στίχων ἐπηρώτων, εἰ ὑπ᾿ ἐκείνου εἶεν γεγραμμένοι. καὶ ὃς ἔφασκε πάντας αὑτοῦ εἶναι. κατεγίνωσκον οὖν τῶν ἀμφὶ τὸν Ζηνόδοτον καὶ Ἀρίσταρχον γραμματικῶν πολλὴν τὴν ψυχρολογίαν. ἐπεὶ δὲ ταῦτα ἱκανῶς ἀπεκέκριτο, πάλιν αὐτὸν ἠρώτων τί δή ποτε ἀπὸ τῆς μήνιδος τὴν ἀρχὴν ἐποιήσατο· καὶ ὃς εἶπεν οὕτως ἐπελθεῖν αὐτῷ μηδὲν ἐπιτηδεύσαντι. καὶ μὴν κἀκεῖνο ἐπεθύμουν εἰδέναι, εἰ προτέραν ἔγραψεν τὴν Ὀδύσσειαν τῆς Ἰλιάδος, ὡς οἱ πολλοί φασιν· ὁ δὲ ἠρνεῖτο.