Conrad II was Holy Roman Emperor (1027-1039). His son, Heinrich III, ruled as King of Germany during this time, and at Conrad’s death, also inherited title of Holy Roman Emperor, and ruled both until his death in 1056. Heinrich’s son, Heinrich IV, ruled as King of Germany from 1056-1105 (abdicated), and while King inherited Holy Roman Emperor status in 1084. Heinrich IV was one of the most important rulers of the 11th Century. These ancestors are linked only to Arthur Fuller through the Osborn line.
Henry the Fowler was King of the Germans from 919-936. He happens to be a direct ancestor of Hugh Capet, which puts this King as ancestor to the Bean AND Osborn lines leading to Arthur Fuller.