As for Elizabeth being the first name, aside from being with the same name as her great-grandmother, it sounds so close to Crown Princess Elisabeth of Belgium's name...
As for Caroline, there's Princess Caroline of Monaco and Hanover.
As for Eleanor/Eleonore, there's Princess Eleonore of Belgium, youngest child of King Philippe and Queen Mathilde of the Belgians. If I remember correctly, too, Princess Madeleine of Sweden's first child is named Eleonore.
I want her to be different from other princesses...like Princess Estelle of Sweden. Aside from her, I never heard a royal with that name before.
But well then, we are only wishing... they have the final say