Preheat oven to 350 degrees F. Coat an 8”x 8” square baking pan with cooking spray.
In a large bowl, lightly beat the eggs. Add the pumpkin puree, sugar, brown sugar, oil, and milk. Stir well. Add the flour, corn meal, baking powder, baking soda, salt, cinnamon, ginger, and cloves. Blend until completely incorporated into the wet ingredients.
Pour batter in the prepared pan and bake 45 minutes, or until the middle of the top springs back when lightly touched.
While cornbread is baking, make the maple butter: Cream the butter, powdered sugar, maple syrup, salt, and maple flavor with an electric mixer until smooth. Serve butter with the warm cornbread and store any leftover covered in the refrigerator.