Our black Australorp is very broody and has hatched out 4 babies so far and 3 more hatching out. Well, we had 14 eggs. We notice one is missing. We looked at the eggs we gathered and in the refrigerator and no Xs. We are thinking a rat/mouse might have took off with one. What can we do for these pests? Cats never go out to the chicken coop. And I refuse to use poison on anything. It looks they dug tunnels from outside to under the chicken nest box. Thanks!