So that leaves England,Wales, Scandinavia except Finland,Iceland, Greenland and Vinland with some borders of it in North America under Norse rule.
In this kind of scenario, I think that some English will make their way to Vinland, but I think the majority of English emigration would actually be towards Norway and Denmark. You see, England has had towns and even cities for some time by this point and had developed city laws, etc. These did not exist in Norway and one could suspect that a Great Northern Empure might use the English to help settle cities throughout their lands - so ewhat similar to the role which Germans had to Central and Eastern Europe.
I'm not sure there would be much of a draw for large scale Anglo-Saxon settlers in Vinland (though there would certainly be fishermen and traders who would make the move). The most likely thing would be for Vinland initially to be seen as an extension of Iceland and Greenland and draw settlers from those regions.
It's worth pointing out that Cnut's England wasn't a Danish dominated country akin to later Norman rule. Cnut just happened to be the guy one English faction preferred over the other. Albeit being king meant more Danes and Norwegians would come settle.
True, but from my understanding, he had a strong base of support among the Anglo-Norse of the Danelaw. So, in this case, Anglo-Norse may just ve referring to a separate faction of the English.