Supposedly, Anaia was named after an Amazon who was born there. Although it was mentioned by Strabo, Pausanias, Stephanus of Byzantium, and Ephoros, we know very little about it.
We do know some Samians lived there during the Peloponnesian War and it was fortified by Samians after they were pushed out of their own island by Androkles of Ephesos.
It is not entirely known whether this coin is actually from Anaia, but current research believes it the most likely choice.