Preheat oven to 350. Butter a 2 quart baking dish, In a 2 quart saucepan over medium heat, scald the milk and remove from heat. Add the rice , sugar, and salt. Mix well and slowly add the eggs, vanilla, and butter. Pour mixture into a 2 quart baking dish. Sprinkle with nutmeg on top. Bake for 40 min.