A bit late now but...I'll see how bad they are tomorrow before deciding. If they're only a little dirty with yolk or albumen, I'll leave them be. But if an egg is more than half covered, I'll give it a gentle wipe with warm water and mark it with texta.
Don't wash the eggs. As Perris mentions, it destroys the protective film on the egg shell. Wipe with a dry cloth to get the worst of the egg off the shell and leave it at that.
Don't wash the hen either. Pick off the worst of the egg that may be stuck to her belly/chest and dump her in a dust bath. Clean is nice but more important is not sticky. If she is sticky underneath when/if she gets back on the nest other eggs are likely to stick to her underside and she won't be able to turn them and other unbroken eggs may stick to her and act as a wrecking ball in the nest.