Each time I dumped out the old water and yucky stuff, I risked losing a few of the tinier bones. I discovered that the skull had been broken, but I could see most of the parts were still around. By this time the water was clearer and I added a small amount of bleach to it. You have to be extra careful at this point because too much bleach will actually eat away at the bones.
This morning, I took the skull bones which had been drying for a few days, and assembled them. I discovered a couple are gone forever, but it's still pretty good for a first time effort with something so small. I've only ever done large things like a moose and a couple deer. Oh yeah, and a Cormorant skull.