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Preheat oven to 325°.
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Cream 1 cup butter, then slowly add brown sugar and cream well.
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Blend in egg yolk, then stir in flour.
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Continue stirring until a ball of dough forms.
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Chill dough for easier handling.
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Shape dough into balls the size of large marbles.
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Flatten each ball of dough to about 1/8" thickness using palm of hand.
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Mark each cookie by pressing with a fork.
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Bake for 8-10 minutes or until lightly browned.
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While cookies are baking, slightly brown 3 tablespoons of butter in a saucepan.
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Remove saucepan from heat and blend in powdered sugar.
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Gradually add vanilla and evaporated milk, stirring until a spreading consistency is achieved.
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Spread filling on one cookie, then top with a second cookie.
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Pour a tall glass of cold milk and enjoy the cookies.