[Verginius Rufus]

William of Normandy and his descendants continued to be Dukes of Normandy (until King John lost it to Philip II). Henry II, by marrying Eleanor of Aquitaine, was lord of more of France than Louis VII was.

[Agamemnon]

William of Normandy and his descendants continued to be Dukes of Normandy (until King John lost it to Philip II). Henry II, by marrying Eleanor of Aquitaine, was lord of more of France than Louis VII was.

That's nice but let's begin by noting that Dukes are not Kings. As you correctly note note King Henry II married Eleanor of Aquitaine; upon doing so her name and title did not become Eleanor of Normandy, nor did Aquitaine thereafter become a part of Normandy. Aquitaine is Frankish (from which the term "French" is derived) and Basque if anything. Not Norman. Not Scandinavian.

The original poster wrote: "Recall that the Normans from french Normandy invaded England and defeated the Anglo saxons.

I think we can agree that there was no such thing as a "french Normandy" at the time of William the Conqueror and that Henry II did not show up as a regent of the Normandy region until over 50 years after William the Conqueror's death. While Anglo-Norman regency rivalries certainly transpired during that time between the death of William I and ascendancy of Henry II, Aquitaine never became a part of Normandy, particularly where being "french" has anything to do with it.

FReegards!