Nashville-based singer Tyrone Smith (also known as Super T) provided the music, and he told PEOPLE that Jenna and Henry gazed into each other's eyes during their first dance to Taj Mahal's "Lovin' in My Baby's Eyes." The first daughter also shared a poignant dance with her father to Joe Cocker's "You Are So Beautiful," while the President hit the dance floor again when the band played "Sugar, Sugar." Said Smith: "He got down!"