As she began writing her second album, Tom Zutaut left Geffen Records, so when Columbia Records U.S. offered McEvoy a new deal, she accepted it and began working on a new, edgier second album, which would eventually be titled "What's Following Me?" The album was released in 1996. The single "Precious Little" built to a Top-10 radio hit in the United States, giving McEvoy the exposure she needed for a headline tour of the U.S. She was invited to contribute to a number of movie and TV soundtracks.