A good way to deal with runs in finish is to take a a sharp chisel, lay it flat against the piece and slice the drip off flush to the surface, then a light sand with fine abrasive. That way you won’t create a halo around any high spots when you are sanding. I believe auto finishing shops have a special tool for doing the same thing.
Nice job, I’m sure your daughter will be delighted.

Doing the best I can with what I've got