Preheat oven to 375.
Cream together butter and sugar.
Mix in flour (dough will look crumbly).
Roll dough into round balls and place on an ungreased cookie sheet.
Make thumbprints in each dough ball and fill with your a cherry from the pie filling.
Bake for 15 minutes until edges start to get lightly brown and cookie sets up.
Allow to cool on cookie sheet for 15 minutes.
Mix powdered sugar with milk and vanilla to make a thick glaze.
Place in corner of zipper bag and clip corner to pipe.
Pipe perpendicular lines across cookie to decorate.