My grandma used to do that a lot. She raised hens and even a rooster or two in the backyard chicken coop. Got lots of eggs and the occassional chicken for Sunday dinner. She'd grab one of us kids (usually my youngest brother, Ted) and we'd catch a chicken for her. Then we'd hold it while grandma cut off the chicken's head with her little red hatchet. She'd draw the bird, pluck it, and roast it with a stuffing of sage, home-made bread, and I don't remember what all. As for putting the hen in the pot, I sort of suspect that you'd get an egg. A plain old egg, uncooked and uncleaned, and a messy pot. That is, assuming you could keep the ol' hen in there to start with. They can get right feisty.

Now, if you put a fire under the pot, I can't tell you what might happen, except that you'd be giving the hen one heckuva hot foot.