Shakespeare's Cressida was based upon Chaucer's Criseyde from his poem "Troilus and Criseyde." Chaucer in turn based his Criseyde upon a character named Criseida in Boccaccio's "Filostrato."
From the ancient Greek name "Chrysiida" (pronounced "Chrissyeetha" in Greek). The name is mentioned in Homer's Iliad, a couple of thousand years before the medieval legends. She was the daughter of the priest Chrysos ( means gold in Greek). Achilles held her captive.