Could the name of Troy possibly be connected to Tirzah? A City that sometimes served as the royal capital of the Northern Kingdom. I've suggested before the Teresh of the Sea People could have come from Tirzah, and I think others have suggested connecting the Teresh to Troy.
But the name Memnon itself could be viewed as referencing the first two letter of the Hebrew spelling of Menahem. Memnon was a king of the mythical "Aethiopia" which was also linked to Joppa and thus the same dynasty as Cepheus and Andromeda.
Given my past speculations of a connection between the Ketos of Greek Mythology and the creature that swallowed Jonah. And the fact that Jonah, Amos, Hosea and Joel were all contemporaries of Jeroboam II. I think Laomedon and Cepheus may both be Greek mythological corruptions of the memory of Jeroboam II. And thus all royal families who claimed descent from either the House of Laomedon or Andromeda were descendants of the House of Jehu. And all tracing descent back to Mennon were the House of Menahem ben Gadi. And the Dorians were of those of Manasseh who dwelt in Dor, while the Thesselians were of Asher and their royal family of the governor of Dor who and Solomon's Daughter. And those claiming descent from Perseus and/or Herakles were Danites or Ephraimites. Sometimes Hercules rather then Mars is given as the father of Romulus and Remus.