Melt butter and stir in flour; add milk and cook, stirring constantly, until mixture is thickened and smooth. Continue cooking and stirring for another minute or two. Add sherry and parsley; season to taste. Place rice in the bottom of a greased shallow baking dish. Half eggs; arrange on top of rice. Pour the cream sauce over all; sprinkle with grated cheese. Bake in a moderate oven; 350° F; about 20 minutes.
Servings: 6