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Beat egg whites until frothy.
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Add water and salt and beat until stiff, but not dry.
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Beat egg yolks until lemon-colored and very thick.
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Gently fold yolks into the whites.
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Heat butter in a 10" skillet with oven proof handle.
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Pour in the egg mixture, spreading it evenly, but slightly higher around the edges.
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Reduce heat and cook slowly about 8 to 10 minutes, or until omelet is puffed up and set.
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Gently lift up on edge of it with a spatula; it should be golden on the underside.
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Bake in a 325° oven for about 10 minutes, or until a knife inserted in omelet center comes out clean.
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Loosen omelet around edges with spatula. Tilt pan and fold the smaller, or upper half, over the lower half.
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With the aid of spatula and spoon, slip omelet onto hot platter.
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Spoon Cheese Sauce on it and serve at once.
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To make cheese sauce:.
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Melt 2 tablespoons butter in saucepan over low heat.
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Blend in 2 tablespoons flour, 1/4 teaspoon salt and a dash of black pepper.
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Add 1 cup milk all at one time and cook and stir until mixture bubbles and thickens. Add 1 cup shredded sharp cheese and stir until it melts.