What cousin of Herman I, Duke of Swabia also had a chance to rule the Duchy of Franconia?
Conrad I of Germany Conrad I (German: "Konrad" ; c. 881 – December 23, 918), called the Younger, was the first non-Carolingian king of East Francia from 911 to 918. He was the first elected king of East Francia and also the first one to be anointed. He was chosen as the king by the rulers of the East Frankish stem duchies after the death of young king Louis the Child. Prior to this election he had ruled the Duchy of Franconia from 906.
Rudolf of Rheinfelden Rudolf of Rheinfelden (  1025 – 15 October 1080) was Duke of Swabia from 1057 to 1079. Initially a follower of his brother-in-law, the Salian emperor Henry IV, his election as German anti-king in 1077 marked the outbreak of the Great Saxon Revolt and the first phase of open conflict in the Investiture Controversy between Emperor and Papacy. After a series of armed conflicts, Rudolf succumbed to his injuries after his forces defeated Henry's in the Battle on the Elster.