We aren't either, but I have seen people doing it.
Leave some newspapers in there for the chicken to make a nest. Presuming the chicken has ever seen a rooster, there are going to be eggs. If not, bring in a rooster for an overnighter. Then, get rid of him.
There will be eggs.
Once you're happy with the chicken's weight, snap it's neck, remove the feathers (hot water bath will do that), but it, clean it, put it in a pot to roast for about 3 hours.
Get a new chicken.