In a bowl, combine eggs, milk and rice. Stir in parsley, butter, onion, celery salt and salt. Pour into a greased 2 quart baking dish; sprinkle with cheese. Set dish in a 13x9x2" pan; add 1" of hot water to pan.
Bake at 350F for 50-60 minutes or until a knife inserted in the center comes out clean.
Per serving: 349 Calories (kcal); 25g Total Fat; (62% calories from fat); 10g Protein; 22g Carbohydrate; 130mg Cholesterol; 751mg Sodium Food Exchanges: 1 Grain(Starch); 1 Lean Meat; 0 Vegetable; 0 Fruit; 4 1/2 Fat; 0 Other Carbohydrates