Old Fillmore Elementary School Butter Cookies. I finally found this recipe that our cafeteria ladies used to fix!! These are the best! Beat 4 sticks of Butter with 1 1/4 Cup Sugar. The secret is beating the butter and sugar until it is like whipped cream. Then add 1 TBSP of pure vanilla and 4 Cups of Flour. Beat well. Place on a buttered cookie sheet. Press down with the bottom of a decorative glass. Bake at 350 degrees for ten to twelve minutes.