Minnie was married three times, although no marriage certificates have been found. It is believed that her first husband was Casey Bill Weldon, whom she married in the early 1920s. Her second husband was the guitarist and mandolin player Kansas Joe McCoy, whom she married in 1929. They filed for divorce in 1934. McCoy's jealousy of Minnie's professional success has been given as one reason for the breakup of their marriage. Around 1938 she met the guitarist Ernest Lawlars (Little Son Joe), who became her new musical partner, and they married shortly thereafter; Minnie's union records, covering 1939 onwards, give her name as Minnie Lawlars. He dedicated songs to her, including "Key to the World", in which he addresses her as "the woman I got now" and calls her "the key to the world." Minnie was also reported to have lived with a man known as "Squirrel" in the mid- to late 1930s.