Alanis Morissette is known for writing one of the greatest breakup songs of all time—hello, “You Oughta Know”—but she’s now happily married to Mario Treadway, the hip-hop artist known as Souleye.

There was a time from the mid-to-late-’90s when you couldn’t turn on the radio without hearing recording artist Alanis Morissette blaring from the speakers. Tracks like “You Oughta Know” and “Ironic” ...