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As many of you probably know already, the West Germanic languages are traditionally divided into three major divisions: the Irmionic (whose most noteworthy representative is Standard/High German), Istvaeonic (Dutch and Flemish), and Ingvaeonic, which itself has three major subdivisions considering of English (descended, of course, from Anglo-Saxon), Low German (descended from Old Saxon), and Frisian.

However, Low German has had significant Dutch and High German influence exerted on it over the years, and its counterpart English famously has a lot of Latinate influence put into it starting with the Norman invasion. What I was wondering what could happen, however, if enough "Anglo-Saxons" got left behind on the other side of the North Sea: how could or would the resulting continental English look? Something like the "Anglish" variants strike me as unlikely (given Latinate influence in a few others areas than merely vocabulary), but considering how much Old English influence made it through anyway I was wondering if we could still get a recognizably Anglic language developing on the continent. Alternatively, I wonder if we simply would get a variant of the aforementioned Frisian and/or Low Saxon, or perhaps still a totally different Ingvaeonic language.

Is this scenario I'm thinking of even possible in a sense? It obviously helps that no matter what, English in OTL had an island to incubate it no matter what the case.
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