Preheat oven to 325 degrees. Grease a 9x13 baking dish with nonstick baking spray. (Using baking spray has flour in it) If you don't have baking spray, grease the baking dish and dust with flour.
Place butter and water into a large microwave safe bowl. Cook for 1 - 1 1/2 minutes until butter is mostly melted.
Add brown sugar and molasses and mix well with a whisk.
Pour the flour over the butter mixture. Sprinkle baking soda, salt, ground ginger, ground cinnamon, and ground cloves onto flour.
Whisk until all ingredients are well incorporated.
Add eggs and mix again.
Pour batter into prepared baking dish. Bake for 35-40 minutes. Cake should feel firm on the top. Inserting a tooth pick should come out clean.
Remove from oven and allow to cool completely before icing.
To make the icing, combine the melted butter and cream cheese with a hand mixer. Add the heavy cream or half & half, the vanilla bean paste or vanilla extract. Blend with hand mixer. Add powdered sugar one cup at a time and blend until you have a thick spreadable icing.
Spread icing over cooled cake. Sprinkle with extra ground ginger if you like. Enjoy.