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.
Desiderata of the Lombards Desiderata or Ermengarda was one of four daughters of Desiderius, king of the Lombards, and his queen, Ansa. She was married to Charlemagne, king of the Franks, in 770, probably to form a bond between the otherwise enemy states of Francia and Lombardy. The marriage was annulled in 771 and this hurt relations with Lombardy, presaging the war of 774. She had no known children and her ultimate fate is unknown.