The following information was posted by Curt Hofemann, curt_hofemann@@yahoo.com, in a post-em (Although he doesn't say it in this post-em, Curt doesn't like it when I follow various unscourced pedigrees such as Robert's descent from Ragnvald II Brusisson, Jarl of Orkney. This one makes some sense because of the names.):
from Bruis in Normandy, came to England with or shortly after William I [Ref: Paget p155]
Bruce family: also spelled BRUIS, BRIX, or BROASE, an old Scottish family of Norman French descent, to which two kings of Scotland belonged. The name is traditionally derived from Bruis or Brix, the site of a former Norman castle between Cherbourg and Valognes in France.
The family is descended from Robert de Bruce (d. 1094?), a Norman knight who came to England with William I the Conqueror and who was awarded by the gift of many manors, chiefly in Yorkshire, of which Skelton was the principal. [Ref: Ency Britannica Online]
Regards,
Curt