I'm late to the discussion by a few years but Gudrun (Guðrún ?) was my great grandmother.I am having a difficult time tracing things back very far. I think a lot of it is due to language/spelling and changes made to names when they came to the US (or Canada).
Gudrun married Lewis(Louise?) Byron. Had three sons, Johan (Joseph?) Ole Byron, Tryggvie Byron and Thor Byron. Johan ended up in Blaine (as did Gudrun and they are both buried there) and is my grandfather.