Chocolate Marshmallow Cookies

I made this for a ward campout we had a few weeks ago and they were a huge hit!

Sift together-
1 3/4 cup flour
3/4 cup cocoa powder
1/2 tsp baking soda
1/2 tsp salt
set aside

Cream together-
1 stick softened butter
1 cup sugar
then add -
1/2 cup milk
1 tsp vanilla
mix well

Add flour mixture to this mix, a 1/2 cup at a time, mixing well after each addition. Use a rounded tablespoon to drop mixture onto an ungreased cookie sheet. Cook for 8-10 minutes of 375. Meanwhile, cut 12 marshmallow in half, lengthwise and set aside. When cookies are done, take out of oven and press marshmallow into each center, pressing it down with the flat of a spoon. Put back in oven for 1-3 minutes, until marshmallow softens. Set cookies aside to let cool while you make the icing.

Icing-
Put 3 cups powdered sugar into a medium sized bowl.
In a medium sauce pan melt together-6 tablespoons butter and 4 1/2 tablespoons cocoa powder, stirring occasionally with a wooden spoon.
Pour butter chocolate mixture into powdered sugar
Add 6 tablespoons milk, and 3/4 tsp. vanilla
Wisk together.

When cookies have cooled, top entire cookie with chocolate icing. Enjoy!