Yes, to both.
In fact, when I was younger the name
Katie was quite popular stand-alone... so I see no reason why the more sophisticated sounding
Kate can't do the same.
Also - I know plenty of
Leos. My own cousin is named
Leo, and I have two classmates from college named
Leo.
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"How wonderful it is that no one need wait a single moment before starting to improve upon the world." -Ann FrankMama to my "bright star"
Clarisse Bituin and Wife to
Julius.
Mahal na mahal from our little family to yours!