See also Arsinoe - This is more information on the second definition in ephealy's write-up below
The daughter of Phegeus and wife of Alcmaeon. Alcmaeon left Alphesiboea for Callirhoe, and tried to retrieve the necklace and gown of Harmonia (which he had given to his father-in-law Phegeus) so that he could instead give them to Achelous, the father of his new bride. Different accounts say that Alcmaeon was killed by either Alphesiboea or her father for his deceit.
E2 Dictionary of Classical Mythology