 The following year (2006), Dyson toured the United States and Canada, she performed with Frank Zappa's band, The Mothers of Invention, on stage at the Winnipeg Folk Festival, and supported Ani Di Franco in New York's Central Park.In August of that year she was invited by Deborah Conway to take part in the Broad Festival project, with three other Australian female artists, they performed their own and each other's songs.With Dyson and Conway were Melinda Schneider, Kate Miller-Heidke and Ella Hooper.