In a bowl, combine the flour and salt; cut in shortening until crumbly. Gradually add water, tossing with a fork until dough forms a ball. On a lightly floured surface, roll out dough to a 12-by-18-inch rectangle. Cut into 6 squares.
Place 1/3 cup chopped apples in the center of each square. Brush edges of dough with water; fold up corners to center and pinch to seal. Place in a greased 13-by-9-by-2-inch baking dish. Bake at 350 degrees for 30 minutes.
In a saucepan, combine the brown sugar, water and butter; bring to a boil, stirring constantly. Remove from the heat. Pour over dumplings. Bake 25-30 minutes longer or until apples are tender. Serve with ice cream.
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