What does Lucía mean?
The Spanish form of Lucia, feminine of the Roman name Lucius, from the Latin lux (genitive lucis) 'light'. Borne by Saint Lucy, martyr and patron of the blind, traditionally associated with light and sight.
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.