Some accounts say that Elpinice was for a time married to her brother, but was later given as a bride to Callias, one of the richest men in Athens, who had fallen in love with her.
En del källor säger att Elpinice för en tid var gift med sin bror Cimon, men senare giftes bort med Callias, en av Atens rikaste män, som hade blivit förälskad i henne.