Preheat oven to 350 degrees.

In a large bowl, cream together butter and sugars. Add egg and vanilla and mix well. Stir in pumpkin.

In a medium bowl, sift together the baking soda, cinnamon, cloves, nutmeg, ginger, salt and flour. Add to pumpkin mixture and mix well.

Drop by heaping tablespoons onto a lightly greased cookie sheet. Bake for 10-12 minutes.

To make frosting: In a medium saucepan, combine butter, cream, and brown sugar over medium heat.

Cook, stirring occasionally, until mixture just begins to boil; remove from heat and stir in vanilla.

Cool then stir in powdered sugar. Spread frosting over cooled cookies.