I can't take full credit for the recipe and I don't know where I found it, but I have made improvements.

1 egg
2 cups of flour
1 cup of butter
1 cup of sugar
1 cup of pumpkin
1 teaspoon of baking powder
1 teaspoon of soda
1 teaspoon of cinnamon
1/4 teaspoon nutmeg
1/4 teaspoon all spice
1 teaspoon of vanilla
1/2 teaspoon of salt

Preparation Instructions:

COOKIES
Cream the sugar and the butter.
Add the pumpkin and the egg.
Add the dry ingredients.
Bake at 350F for about ten minutes.

Step 1: Icing

1 cup of powdered sugar
1/2 cup of brown sugar
4 tablespoons of milk
3 tablespoons of butter
3/4 teaspoon of vanilla

Combine the butter, the milk and the brown sugar.
Boil for three minutes minutes. Allow to cool.
Stir in the sugar and the vanilla.