Before the release of "Wave", Smith, now separated from long-time partner Allen Lanier, met Fred "Sonic" Smith, former guitar player for Detroit rock band MC5 and his own Sonic's Rendezvous Band, who adored poetry as much as she did. "Wave"s "Dancing Barefoot" (inspired by Jeanne Hébuterne and her tragic love for Amedeo Modigliani) and "Frederick" were both dedicated to him. The running joke at the time was that she married Fred only because she would not have to change her name. They had a son, Jackson (b. 1982), who would go on to marry The White Stripes drummer, Meg White, in 2009; and a daughter, Jesse Paris, who is also a musician and composer (b. 1987).