Thick Cut Out Cookies

1 c. butter
1 c. sugar
1 egg
1 T. milk
3 c. flour
1 1/2 t. vanilla
3/4 t. baking powder

Icing:
1 T. butter
1 t. vanilla
2 1/2 c. powdered sugar
3 T. milk

Beat butter and sugar until light in color, next add everything except the flour and mix well. Gradually add the flour, beating until it starts to form a ball. Split in half; wrap in waxed paper, refrigerate for 2 hours. Roll out with powdered sugar on surface to about 1/4 inch thick. Bake for 10 min. at 375 on parchment paper lined baking sheet. Rotate the halfway through baking.

This is from Angela, the perfect cookie baker. :-)
Hers are SO good. I love, love to eat them. I HATE making them!
My husband loves them, too.