I contacted Alan Freer A.C.I.B., Member of the Society of Genealogists, London. All of his work in on the Dukes of Normandy. His web site is THE DESCENDANTS OF WILLIAM THE CONQUEROR:http://freepages.genealogy.rootsweb.ancestry.com/~conqueror/...
So I figured he knows his stuff. He said that he has never come across Godiva of Normandy, in all his decades of research. And he pointed to the contradiction in the name, as was pointed out in one your other relies.
So, what I am going to do is show Estmond of England, married to Godiva of Normandy as the parents of Eva Fitz Estmond (who married Robert Fitz Harding) and dead-end the lineage, as there appears to be no evidence of any connection to any of the Dukes of Normandy, and indeed a generational gap between her (or Estmond) and William, Robert I or Robert II. You might see people that have moved Godiva and Estmonds dates closer/earlier, so they could tie to the Dukes, but then it leaves a generation gap with their daughter, or later generation(s), depending on where they started speading the fudge.
If the glove doesn't fit - you must acquit !