For the region, see Phrygia
Phrygia was a daughter of Cecrops, from whom the country of Phrygia was believed to have derived its name.
Phrygia is also an epithet for Cybele, as the goddess who was worshipped above all others in Phrygia, and as a surname of Athena on account of the Palladium which was brought from Phrygia.
Phrygia was also a feminine personal name attested in ancient Athens, since ca. 500 BC
References
Phrygia (name) Wikipedia(Text) CC BY-SA