At no point in its history has England been ruled as a single kingdom by its native people. First it was the Romans, then the Germans of Saxony, then the Normans, the Scottish, briefly the Dutch, and finally the Germans again. Along the way there have been brief periods of rule by other nationalities: Cnut and Harthacnut of Denmark, Henry Tudor the Welshman, officially Philip V of Spain... and, for half a year in 1216, Louis, heir to the throne of France.
Louis' rule ended when King John died, the rebellious barons preferring his young son Henry III. Officially, "King Louis I of England" never existed, having accepted 10,000 marks to declare that he had never officially ruled. But... what if his line had continued? England would have been united with France in personal union - but as soon as Louis' direct male line died out, the two kingdoms would have split off again...
Historical monarchs are bolded. Other members of the line of succession are italicised. Only children and consorts relevant to the succession are included.