What does Cynthia mean?
Cynthia is from Greek Kynthia, an epithet of Artemis meaning 'from Mount Cynthus,' her birthplace on Delos. The moon association comes because Artemis (and Selene) were called Cynthia; it is cultural, not a literal 'moon' etymology.
What does Katherine mean?
Katherine comes from the Greek Aikaterine, of debated origin, long associated with katharos, “pure.” A name of saints, empresses and queens, it offers an unusual wealth of nicknames.