Step 1Combine the beaten eggs, milk, brown sugar, Worcestershire, seasoned salt, dry mustard and white pepper in an 8-inch square oven-proof casserole. Stir in the bread and cheese, cover and refrigerate overnight.
Step 2When you're ready to bake the strata, preheat the oven to 325 degrees. Place a 13x9-inch pan on the middle rack of the oven, place the casserole with the bread in the larger pan and then add water to come halfway up the sides of the casserole. Bake the casserole until the center is set, about 45 minutes. Serve with cheese sauce.
Step 1Melt the butter in a saucepan and stir in the flour. Cook, stirring, until a smooth paste is formed. Do not let the flour brown. Add the milk all at once, stirring constantly. Season to taste with salt and white pepper. Add the cheese and cook, stirring, until the cheese melts and the sauce is smooth.