Wulfwine - Tenth Century
I can find no reference to Ulwin in the Anglo-Saxon Chronicals. The name Alwin does appear on a number of Domesday entries.
The name on the Belchamp Walter entry (Thunderlow) is Alfwin (father of Wulfwin - no "e")
Wulfwine - Medieval Moneyer
Wulfwine is the Anglo-Saxon name for a Medieval Moneyer. Someone who can mint money (coins).
The name can refer to more than one person, it seems that it was a medieval profession.