No I'm wrong, Eremberge/Eremberga (not Ernenberge) did exist and was married to Raoul d'Ivry who was the maternal half-brother of Richard I, Duke of Normandy. He was named Count at some stage and probably of Bayeux, but this isn't definite.
She was from Cauville, which is in the Pays-de-Caux, but I would think Cauville would be a better LNAB rather than Caux. Her parents aren't mentioned and I would think that the current father Canville de Caux is completely imaginary, perhaps trying to use a version of Cauville and Caux in the same name.
This is all from The Gesta Normannorum Ducum of William of Jumieges, Orderic Vitalis and Robert of Torigni, Vol. 2, edited and translated by Elisabeth M.C. Van Houts, Oxford University Press, 1995.
However most of the children currently attached to her aren't hers, so they will need some research to see if they belong to someone else, or are also imaginary.
Charles Cawley, has a list of the four children which agrees with the Van Houts source, though a note in Van Houts, reverses the order of the wives of Raoul d'Ivry, Eremberga first and Albreda second, according to her.