In a medium bowl, stir together the flour and salt. Cut in the butter flavored shortening using your hands or a pastry blender until the mixture resembles coarse crumbs. Sprinkle the ice water over the dough, and stir until the mixture comes together. Knead the dough briefly, then divide into 6 pieces.
Preheat the oven to 375 degrees F (190 degrees C).
On a lightly floured surface roll out each piece of dough into a thin circle. Place two peach halves together, and wrap in each circle of dough, sealing at the top. Place the dumplings onto an ungreased baking sheet.
Bake dumplings for 30 minutes in the preheated oven, or until golden brown. While the dumplings are baking, make the sauce. In a medium bowl, mix together the butter, egg, nutmeg, vanilla and salt using an electric mixer on low speed. Gradually mix in the confectioners' sugar. Spoon over warm dumplings.