It seems very plausible. Having spent a great many years studying Spanish, I can say with some authority that the romance languages, French, Italian, Spanish, etcetera are largely descended from Latin, so there should be great similarities between them. Additionally, there was a conqueror named William of Normandy who took over large parts of England and likely spoke some sort of Romance/Latin/French thing from Normandy. Of course, he put his friends and comrades in charge of England with the result that their language became the language of the ruling class so people of the British Isles who were educated, were educated in that language. Thus, many words, especially the larger "educated" words, are similar all across Europe.