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Preheat oven to 375F degrees.
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Peel and core apples.
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Sift together flour, baking powder, and salt.
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Cut in shortening until crumbs are size of small peas.
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Sprinkle milk over mixture, and press crumbs together lightly, working dough only enough to hold it together.
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Roll dough as for pastry, and cut into 6 squares.
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Place an apple on each square and fold pastry to surround apple.
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Place in a casserole dish.
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Combine brown sugar, water, cinnamon, and nutmeg in a saucepan.
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Cook for 5 minutes then remove from heat.
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add butter and stir.
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Pour sauce over dumplings.
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Bake for 35 to 40 minutes, brush pastry with sauce twice during baking.