Mine is what I believe to be willow (I found it under a willow tree), and the other two are part of the same branch from an apple tree. The small one is for my cousin's 3 year old niece, and the longer is for my cousin.
I cut the sticks to length, removed the bark from everywhere but the handle, dried the wood out for a few days, whittled them to a basic shape, then sanded the heck out of them. After that I applied 2 to 3 coats of shellac, and voila! Wands!