Carloman of Bavaria was the eldest grandson of what descendant of Charlemagne?
Louis the German Louis (also Ludwig or Lewis) "the German" (c. 802-876), also known as Louis II, was the first king of East Francia. Grandson of emperor Charlemagne and the third son of emperor of Francia, Louis the Pious and his first wife, Ermengarde of Hesbaye, he received the appellation "Germanicus" shortly after his death in recognition of the fact that the bulk of his kingdom was in the former Germania.
Widonids The Widonids, Guidonids or Vitone were an Italian family of Frankish origin prominent in the ninth century. They were descended from Guy of Nantes, whose origins were Austrasian. They were an aggressive dynasty, expanding their base of power into the Papal States, ever loyal to the Empire and never the Papacy. They were related to the Carolingians in the female line and one even made a claim to the throne of France on that basis. The Widonids and the Rogonids competed for control of the Breton March through much of the ninth century.