What does Catalina mean?
The Spanish form of Katherine, from the Greek Aikaterine, whose original meaning is unknown. Early Christians associated it with the Greek katharos 'pure', which reshaped the spelling (with -th-), but that 'pure' sense is a later folk association rather than the true root.
What does Carmen mean?
A Marian devotional name from the title 'María del Carmen', Our Lady of Mount Carmel. Carmel comes from the Hebrew karmel 'garden, orchard, vineyard'. By coincidence the identical Latin word carmen means 'song, poem', which has reinforced the name's appeal.