I would like to see a more thorough, scholarly description of the evidence, but it has long been speculated that if Odysseus (or someone like him) existed, that the Ithaca of Homer was actually modern-day Cephalonia.
PS. And might I add that this is a fascinating report!
Makes sense that a successful kingdom would be on a larger island with adequate water supplies.
I'm a little surprised that the seat of the kingdom wouldn't have been somewhere inside on of the deep bays sohown on the map since the city/port would have been protected from storms.
Or a headless something, running.