Förstemann[1] explains this as originally motivated by the wolf as an animal sacred to Wodanaz, but notes that the large number of names indicates that the element had become a meaningless suffix of male names at an early time (and was therefore not anymore considered a "pagan" element at the time of Christianisation.
Some early missionaries among Germanic folk still used it, like bishop Wulfilas however his family had been adopted earlier by the Goths.
[2][3] Offa of Angel is a legendary king of the Angles recorded in the 9th-century genealogical tradition of the Anglo-Saxon Chronicle.
[4] Wuffa is recorded as an early kings of the East Angles, eponymous of the Wuffingas dynasty.
Early instances of this surname in Germany include one Tyle Wulf who lived in Treuenbrietzen in 1375 (Archiv for Sippenforschung und alle verwandten Gebiete) and one Nivelung Wolf who was a citizen of Cologne in 1135 (Kolner Schreinsurkunden).