Wolsky in Passionate Acts in Greek Art and Myth, p. 22, informs that "Zeus fell in love with Aegina, the beautiful daughter of a river-god, and carried her off to the island of Oinone in the Saronic Gulf between Attica and the Peloponnesos. Informed of the abduction, her father, Asopos, gave chase and was punished by Zeus for his interference with a few well-aimed thunderbolts. On the island, Aegina, in due course, gave birth to a son, Aiakos, who became the king of Oinone. When Zeus's wife, the goddess Hera, outraged once again by her husband's infidelity, caused the death of Aegina, Aiakos renamed the island Aegina, in his mother's honor. Aiakos's contribution to Greek myth was to become the father of Peleus and the grandfather of Achilles."
The identification of the woman on side A as Aegina is usually the result of a process of elimination. Here, however, and perhaps uniquely, she is positively identified by the accompanying inscription.