Sift together cornstarch, confectioner's sugar and flour.
Blend in butter with spoon until smooth soft dough forms.
Shape into 1 inch balls. Place 1 1/2 inches apart on ungreased cookie sheet. Flatten with lightly floured fork.
Bake in 300 F oven for 20-25 minutes or until lightly browned.
Note: If dough is too soft to handle, cover and chill for 1 hour.
Hints: my sister got me into using confectioner's sugar instead of flour for flattening these cookies. We use the maraschino cherries cut in half and pressed into the center of the cookies after flattened. You can use glazed cherries too. We use one 1/2 red cherry and 2 1/4 green cherry to make holly berries on some cookies. We leave some without cherries, just in case someone doesn't want them.