can I start cooking chicken stock tonight, stop, put it in the fridge so I can go to bed, and then finish cooking the stock tomorrow night?

Like Dr Shakeyhands, I always cook mine in a slowcooker for 24 hours. I also would rather cook it covered on low low overnight than stop and restart it.

In the future, you can use your slow-cooker. I just put the bones in, set it on low for a long time, and depending on which type of bones I am using, remove at an appropriate time. I saw a chart somewhere (page 70 of the winter issue of GFF Magazine, part of an article on making broths) that recommends chicken bones go in a slow cooker for 12-24 hours and pork and beef bones up to 48.

Why not cook it while sleeping? I leave mine on low all night all the time. Perfect stock and coffee!!!

Yes...but i would seperate the stock into a few containers uncovered to cool it down quicker