By the time of Euripides, the islands were identified with the Echinades: in Euripedes' Iphigeneia at Aulis (405 BCE), the chorus of women from Chalcis have spied the Hellenes' fleet and seen Eurytus who "led the Taphian warriors with the white oar-blades, the subjects of Meges, son of Phyleus, who had left the isles of the Echinades, where sailors cannot land. Modern scholars, such as the editors of the Barrington Atlas of the Greek and Roman World, identify the island of Taphos as the island of Meganissi (Meganísi) just east of the larger island Lefkada (Leucas).
The Taphians accounted themselves the descendants of Perseus, for the mother of Taphius, their eponymous colonizer, was a granddaughter of Perseus and lay with Poseidon to beget the heroic founder. Another tradition holds that Taphius was one of the Leleges, and grandson of Lelex. Their most noted king was Pterelaos, rendered immortal by Poseidon by the single golden hair among the hairs of his head, but undone by his faithless daughter (Comaetho) who plucked it while he slept, so that the Mycenaean adventurer Amphitryon of Tiryns could overcome and kill him and retrieve the cattle Pterelaos' sons had rustled from Mycenae, with much spoils besides. As he was returning with his spoils to his bride at Thebes, Zeus preceded him by one night: taking Amphitryon's shape, and brandishing a Taphian cup as a sign of his success, the king of gods fathered Heracles.