Annaea or Annaia (Ancient Greek: Ἄνναια) or Anaea or Anaia (Ἀναία), was a town of ancient Ionia. It is placed by Stephanus of Byzantium in Caria, and opposite to Samos.Ephorus says that it was so called from an Amazon Anaea, who was buried there. If Anaea was opposite Samos, it must have been in Ionia (or well into Roman times, Lydia), which did not extend south of the Maeander River. From the expressions of Thucydides, it may have been on or near the coast, and in or near the valley of the Maeander. Some Samian exiles posted themselves here in the Peloponnesian War. The passage of Thucydides seems to make it a naval station, and one near enough to annoy Samos.