Carloman of Bavaria was the eldest grandson of what descendant of Charlemagne?
Carloman of Bavaria Carloman (German: "Karlmann" , Latin: "Karlomannus" ; c. 830 – 22 March 880), was a Frankish king of the Carolingian dynasty. He was the eldest son of Louis the German, king of East Francia, and Hemma, daughter of a Bavarian count. His father appointed him margrave of Pannonia in 856, and upon his father's death in 876 he became King of Bavaria. He was appointed by King Louis II of Italy as his successor, but the Kingdom of Italy was taken by his uncle Charles the Bald in 875. Carloman only conquered it in 877. In 879 he was incapacitated, perhaps by a stroke, and abdicated Bavaria to Louis the Younger and Italy to Charles the Fat.
Rudolph, Duke of Lorraine Rudolph (1320 – 26 August 1346), called the Valiant ("le Vaillant"), was the Duke of Lorraine from 1329 to his death. He was the son and successor of Frederick IV and Elisabeth, daughter of Albert I of Germany. Though he was but nine years of age when his father died and he succeeded to the duchy under the regency of his mother (until 1334), he was a warrior prince, taking part in four separate wars in Lorraine, France, Brittany, and Iberia. He was killed at the Battle of Crécy.