It's an improvement but still to many L's for my taste. Also Illa does remind me a bit of the word 'ill'. So maybe LillyIla (EE-lah) would make it better.
to me Ila looks like eye-luh, which I do like. LilyIla. maybe. but I still like Illa. I know there's the "ill" reference, but it's softer, to me anyway. thanks for your feedback. :)