Grace Potter & the Nocturnals will perform on the Late Show with David Letterman tonight, December 22. In addition, the group has added a fourth New Year’s Run show at South Burlington, VT’s Higher Ground. Going with the popular trend, the ensemble will now perform at the venue on January 1, 2011. The Nocturnals shows at Higher Ground on December 28, 29 and 31 are already sold out. Please visit our Rocking the Box section for more of this week’s TV listings.