Well, your Raz books are just listened to during Listening to Reading, right? So the students should just enjoy them while listening.
Perhaps for this particular student, the book that you give her in your group work could be the book she takes home to share. Or, a book from her book baggie that she read during Read to Self time could be the take home book.
I don't think most kids feel that confusion, so making accommodations for this little one would be easy to do.