Dough: In large bowl, combine butter and confectioners' sugar and blend well
with electric mixer. Stir in cornstarch and flour.
Form dough into ball, cover with plastic wrap; chill 30 minutes.
Heat oven to 325 degrees F.
Shape dough into 1/2-inch balls and flatten into rounds. Place 2 inches apart
on parchment-lined or ungreased cookie sheets.
Bake for 10 to 15 minutes, until lightly
browned on edges. While cookies bake, prepare icing.
When cookies are done, remove from oven and cool for about 2 minutes on baking sheets.
Remove from baking sheets and cool completely on wire racks. When cooled, frost
Icing: In bowl, mix confectioners' sugar, vanilla extract, butter and milk.
Add 1 to 2 drops of food coloring and mix well. Icing can be divided and each part
tinted a different color. Frost cooled cookies and refrigerate or freeze.