My Norwegian grandmother claimed that our family was descended from Eric the Red, something about our family crest and stories passed down on her fathers side, but I take that with a bit of a grain of salt as I bet a lot of Norwegians claim this.
I am interested in getting one of those 23andme DNA kits; I think it would be interesting, perhaps even clarify some of my ancestry.
As far as the British Isles and the Scandinavian influence, both on culture, language and genetics, dont forget that the Vikings did not just conduct pillaging raids but they also settled large areas of Brittan, i.e. the Daneland. Then they, the Anglo Saxons who were Germanic, were invaded by the Normans
. the Normans being decedents of Norsemen who settled in the north of France, the area known as Normandy.