In 1983 Burton went solo, releasing the albumIn Black and White also produced by Robie. This album featured the Top 20 single "Remember What You Like" and the club favorites "Players" and "Rock Steady," all released on Atlantic Records. She had her biggest success in 1984 with the release of her second self-titled album, featuring the #1 dance hit and #19 R&B single "Bad Habits". The track reached #68 in the UK Singles Chart in March 1985. Also in 1984 Burton sang two songs, "Strangers in a Strange World" and "It's Alright By Me", used on the soundtrack to the filmBeat Street.
In the 1990s, having regrouped as an inspirational artist, Burton had a successful run at the New York venue Don't Tell Mama, with her band and group The Jenny Burton Experience. She was married to BroadwaysongwriterPeter Link.