Hi,
The wishlist module use the same view than the cart. The view in question is "product / cart".
To have a different name, you generally don't have to edit that text string, but set a different module name in the module options.
If you really want to do that this way, you have to edit the given view via the menu Display > Views and add a if condition to display one or another text string. For example: X_ITEMS_FOR_X for the cart, and X_ITEMS_FOR_X_WISHLIST for the wishlist.
And then add a text translation in the override part of the language file like:
X_ITEMS_FOR_X_WISHLIST ="<span class="myBag">My Wish list</span><br><span class="myBagTotal">%s Items: %s<span class="myBag">"