Hello! So sorry you're seeing black spots--that isn't a good sign. What happens is, the embryo implants itself in the wrong place in the egg, and then it dies. The turning prevents that from happening.
Did all the eggs have black spots when you candled? The black spot usually means the embryo has died. If you gently turn the egg when candling and the black spot just floats lifelessly, then it's surely a dead embryo.
I went through this myself once. I didn't turn my eggs during storage, before I began incubating, and I believe that was why I had so many eggs that didn't hatch.
If you candle the eggs again, you should be able to see which ones are growing nicely, and which ones are quitters.
BYC has some great egg candling pics (just search egg candling pics) and you can see what the healthy embryos look like.
I surely hope you get some little chicks for the kids! Good luck to you,
Sharon