It's not just a mythological name--it's a Greek personal name, and Greek was a language widely used around the Mediterranean at the time the New Testament books were written (and they were written in that language). The name
Chloe appears in
Paul's first letter to the Corinthians (1:11) in reference to a woman in the congregation. Quite understandably, as an inhabitant of the Greek city of Corinth, she bears a Greek name.