Many notable artists have recorded cover versions of Crenshaw's songs, including Lou Ann Barton, Ronnie Spector, Robert Gordon, Marti Jones, Bette Midler, and S Club. Scottish musician Owen Paul had an international hit with his version of Crenshaw's "You're My Favorite Waste of Time" in 1986, peaking at number 3 in the UK singles charts. Gin Blossoms singer Robin Wilson cited Crenshaw as an inspiration, stating, "A few years back, I dug up one of Marshall's records and was listening to it. I thought, 'This is how I sing. This is what I'm shooting for.
