Sauce: Mix 1/2 stick butter (melted) and flour with egg beater until thick (30 seconds). Add slowly milk until it boils (5 minutes). Stir frequently.

On side, beat eggs in a bowl. Let milk boil slowly, stirring constantly until a little thick, then pour 1 cup of the milk into the eggs and beat to mix without lumping. Then return to pot and stir constantly over medium heat. Avoid boiling (about 1-2 minutes). Then add grated cheese and stir. Take 1 1/2 or 2 quarts casserole dish greased. Spread 1/2 noodles and cover with 1/3 sauce. Then 1 layer of meat and cover with 1/3 of sauce. Last layer is rest of noodles with rest of sauce on top. Bake at 350 degrees for 45 minutes.