One of my birds was all broody for the past couple weeks, and I left her out there in the coop on the eggs just to see what would happen. (I've had chickens for a while but never tried to hatch any) This morning there was one dead chick, two unhatched eggs, and a live baby chick in the nest. It is VERY cold out there in the coop (I'm in chicago) but I know that chick has to eat at some point and theres no way it will survive NOvember in Chicago. Should I move the mama, the two unhatched eggs, and the live chick all together into someplace warm? If I move the whole setup and put chick starter in the cage with them will the baby chick just eat when its ready and survive? Anything I should watch out for? Thanks!