Every Dybdahl that I can connect to mine stem from the Svenung/Svenning Thorson Dybedahl/Dybdahl family that ended up in Dell Rapids, South Dakota. He had 8 known children (4 of which were boys): Anna, Ingeborg, Joran, Thor S., Halvor, Gullick, Gunhild Marie, and Anne. They were born between 1844 and 1861. I have more on Anna, Thor, Gullick and Gunhild-- but no Josephine amongst the descendants I have. Maybe your Josephine is descended from Joran or Halvor.
Dorian