Chicken & dumplings is the easiest/cheapest thing ever, at least the way I make it (which is the way my grandmother made it.)
I didn't make it for years and years because my husband wouldn't eat it. He never tried any of mine, just told me early on in our relationship that his experience with chicken & dumplings was this snotty looking mess they used to serve at his school. So I never bothered to make them. Then finally I made some for ME cause I love them & hadn't had them in ages. He peered over & wanted to try some. He's been hooked ever since. So I try to make a batch every time I have any leftover chicken.
I just boil the chicken or parts or bones in salted water until it looks brothy. The strain the broth out. If there's any chicken to pick off the bones I do that. You can use little tiny pieces, or big bite-size pieces or just broth. Put that in the broth and bring it to a boil.
In a bowl mix self-rising flour and water to a thicker than pancake batter consistency. (note, I have tried adding things to the dumpling batter, but found I like just plain flour & water the best.) I drop this batter into the boiling broth. Anywhere from half to a teaspoon at a time. You can make them bigger or smaller to your taste. Some people like to roll out the dough and make flat dumplings, but my granmother never did and I never have and it seems a huge waste of time to me. I love my puffy dumplings.
Let those keep boiling until they are done. They will all rise up to the top. Then add some milk (just some, I never measure.) Reduce the heat and let it simmer, uncovered until it's as thick as you like. Add plenty of black pepper, especially if you have cold.
That's some good eatin' right there, made with chicken scraps, water, flour & milk. salt & pepper to taste
Cassandra