When money is awarded to the decedent through a litigation that was begun before the testator's death who inherits this settlement?

The settlement would pass to that person specified as the beneficiary of the settlement in the Will by the testator. If the settlement was not specifically mentioned it would pass to the heirs under the residuary clause of the Will. The residuary clause devises any property that was not specifically devised in the Will. If there is no residuary clause in the Will then that settlement would pass according to the laws of intestacy in the jurisdiction.