Easton, whose breakthrough hit, “Morning Train,” remained at No. 1 on Billboard’s Hot 100 for two weeks in 1981, remembers when she wasn’t too keen on performing her older hits.

Sheena Easton won two Grammys, had seven Top 10 hits and collaborated with artists like Prince and Kenny Rogers. And then she gave it all up. Easton, 66, opened up about her life outside the music ...