This is from my Mother's Betty Crocker's Cookbook, which is from 1973. I don't know if this would be the one you're looking for or not, but it's worth a shot! I'm typing it as it appears in the book, but I have to admit the wording of the first bit in parentheses has me confused!
Peanut Butter Cookies
1/2 cup shortening (half butter or margarine, softened)
1/2 cup peanut butter
1/2 cup granulated sugar
1/2 cup brown sugar (packed)
1 egg
1 1/4 cups all-purpose flour*
3/4 teaspoon soda
1/2 teaspoon baking powder
1/4 teaspoon salt
Mix thoroughly shortening, peanut butter, granulated sugar, brown sugar and egg. Blend in flour, soda, baking powder and salt. Cover and chill.
Heat oven to 375°. Shape dough into 1-inch balls. Place 3 inches apart on lightly greased baking sheet. With fork dipped in flour, flatten in criscross pattern to 2 inches. Bake 10 to 12 minutes or until set but not hard.
About 3 dozen cookies.
*If using self-rising flour, omit soda, baking powder and salt.