What about Hazel? I am sort of a real people name kinda person.

Here are a few others Dezarae, Maizy, Brazil, Jizelle, Jozee, Julz, Suzette (Ok, I admit, I went to a baby naming website and found most of those.) I do really like Hazel though.
I have heard that 2 syllables are best when naming an animal. They recognize those sounds easiest.