I spatchcocked a couple of birds and smoked them as I normally would, and then cut the meat from the carcass and pulled the chicken.. Then today I made a stock/broth with the carcasses. Kept it simple with just the carasses, backbone, scrap bones, water, and a bit more salt and pepper. Let that simmer for about an hour, but probably should have gone longer. I drained the solids and then returned the liquid to a boil. I diluted the smokey stock with some normal chicken stock so that it wouldn't be overpowering. Then added the dumplings. The way I have always done dumplings is to just make it simple with a flour/water/salt/pepper mixture to make a thick paste that I think drop into the boiling stock by the spoonful. Then I added the smoked chicken meat and let it boil a bit more to thicken it.
That's pretty much it. It had a pretty nice smokey flavor to it, but wasn't overpowering. Here is a picture of what the finished product looked like coming out of the pot: