Erm, thats kind of what I meant by my earlier comment. I meant that English eventually replaced the Norman French of the nobility by the 1300-1400's, while the Italo-Norman Crusaders in Antioch were far too outnumbered by their Armenian, Syrian and Greek subjects for their own language to make an impact.
The Normans transported their version of French as the administrative language after the conquest of England, but then they were led by their Duke with the full military resources of his duchy behind him. The Hautevilles were a minor noble family that entered Italy as mercenaries. By the early 12th Century, the Norman-ruled Kingdom of Sicily featured Italian, Arabic and Greek languages, with the latter two involved in administration.