Perhaps the storybook is not only written by the Blue Fairy but also version of the Blue Fairy Book. An actual book of Fairy Tales written by Andrew Lang. With the exception of the Pinocchio story, the Midas story and the Mad Hatter, all the fairy tales used in OUAT are in the Blue Fairy Book including Rumpelstiltskin.
In the Blue Fairy Book, there’s even Snow White and Rose Red, although this Snow White is a different character from the Snow White and Prince Charming tale and that story is actually in the Red Fairy Book. But the Blue Fairy Book, does have Little Red Riding Hood as well as Prince Darling. It even has the Genie and the lamp.
Andrew Lang published twelve different colored fairy books, the first was the Blue Fairy Book. I guess I’m saying my theory is that the Blue Fairy did write the book and this is the show’s version of “the” blue fairy book. If that’s the case, then maybe there could be other storybooks out there in the OUAT-world.