Does sound like something's trying to make off with the eggs. Seems like if they were tossed, some would have broken. I don't know about eggs, but we had a trailer mouse that developed a fondness for cocoa, tried to roll the cocoa container down the hall and into his hole... Do the eggs all seem to be going the same direction?
If you have time, you could lock the girls in the coop, and set out an egg that you aren't trying to hatch. Could be that the girls are attacking the intruder, and he has to drop his booty and run. If you put out another egg, without the girls he might just try to retrieve one of his "dropped" eggs and you could see what it is...? Or if you have one, you could put some eggs in a live trap? Gotta catch him before you have chicks running around.
Does seem kinda odd that something wants the eggs and so far not the chickens....... Sounds like it's coming in the daytime too, so that narrows it some, but if you have the option i'd personally treat it as a meat eater and play it safe. Set a trap, but if it continues.....
Edited by fuzzybutt love - 2/27/12 at 3:17pm