I don't get why naming your main character a name you really like makes it a Mary Sue (according to the Mary Sue Litmus test). You have to like it if you're going to name your character. I've never heard of the name Lucathia, though. It's a good name. :3 I think I'll just randomly browse through a name directory and pick a random name that seems good enough.

Will your novel contain fishbones in it? :O