Melt 1/4 cup butter in a large skillet over medium-high heat; add mushrooms, and cook, stirring constantly, until tender. Stir in stuffing mix.
Spoon half of mushroom mixture into an 8-inch square baking dish; sprinkle with half of cheese. Repeat layers; dot with remaining butter. Pour half-and-half over casserole.
Bake at 325° for 30 minutes.