Mix 1 c. butter, cream (not whipped), and flour thoroughly.
Roll into a cylinder, cover, and chill. (Dough will be fragile!)
Heat oven to 375.
Cut cylinder into 1 1/2 inch cookies.
Dip each cookie in sugar on BOTH sides.
Prick holes (on an ungreased cookie sheet) about 4 times and put on greased cookie sheet.
Bake at 375 for 7-9 minutes, or until just set, not brown.
Cool completely.