What cousin of Herman I, Duke of Swabia also had a chance to rule the Duchy of Franconia?
Herman I, Duke of Swabia: Herman I (died 10 December 949) was the first Conradine Duke of Swabia (from 926), the son of Gebhard, Duke of Lorraine, and a cousin of King Conrad I of Germany. Conrad I of Germany:  Prior to this election he had ruled the Duchy of Franconia from 906.
Conrad I of Germany