Combine flour, one cup butter and cream; mix well. Chill for one hour.
Roll out dough to 1/8-inch thick; cut out cookies with a 1-1/2 inch round cookie cutter. Carefully dip both sides of cookies into sugar; place on a parchment paper-lined baking sheet. Pierce cookies lightly across top with a fork.
Bake at 375 degrees for 7 to 9 minutes. Cool completely.
Beat remaining butter for 30 seconds; gradually beat in powdered sugar, vanilla and food coloring. Sandwich cookies in pairs with frosting.