Preheat oven to 350F degrees.

Place butter in a 9×13 baking dish and put in the heated oven until the butter melts.

Remove pan from oven and add the diced/shredded chicken in a layer on top of the melted butter.

In a mixing bowl, combine self-rising flour with milk. Pour this mixture over chicken (do not stir the layers.) Use a spatula to scrape out all the mixture.

In the same bowl, combine the chicken broth with the cream of chicken soup.

Pour this mixture over the chicken. Do NOT mix the layers.

Bake for about 40-45 minutes or until the dumplings are set and the gravy is bubbly.