Sorry, but I just can't resist putting in my three pence worth into a dispute about History. Even, as in this case when it concerns a place where I can only claim 'sketchy' knowledge. The reference to 'the Siege of Chartres in 911', got me to look deeper into this, (also using Wiki). I came up with ---- After pledging his fealty to Charles III as part of the Treaty of Saint-Clair-sur-Epte, Rollo divided the lands between the rivers Epte and Risle among his chieftains, and settled with a de facto capital in Rouen As I understand it, the pledging of fealty in The Middle Ages was an acknowledgement of overlordship. (Edward 1 of England was rather firm on this point but at a later time). So Rollo would have become a subject of Charles 111.
Exactly. Normandy was a dukedom. The Duchy of Normandy was a vassal of the Kingdom of France, and interestingly, the Normans adopted the French language. The Danes of the Danelaw continued to speak Old Norse.