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.
Henry of Speyer Henry of Speyer (German: "Heinrich von Speyer" , also "Heinrich von Worms";  970 – 989/992), a member of the Salian dynasty, was count in the Rhenish Franconian "Wormsgau". He was the father of Emperor Conrad II.