Lady Antebellum will perform their new single, "I Run to You," on NBC's Late Night With Conan O'Brien on Thursday night (Jan. 8). The song comes from the group's self-titled debut album released in 2008. Their previous hits include "Love Don't Live Here" and "Looking for a Good Time." The group is nominated for two Grammys. Their next concert will be Wednesday (Jan. 7) at Joe's Pub in New York City.