Here is "Babylon":
It's by David Gray, a British musician. "Babylon" was released in July 1999 and comes from White Ladder, Gray's fourth studio album. In addition "Babylon" being his most successful single, White Ladder itself charted for over three years.
While I think I might have heard the song at least once while I lived in America, I associate it most with Heart radio, as it is often played on the Heart radio network.