I'm not sure specifically as there could be many novels with 'the librarian' in the title. It might be about a librarian's daily life, adventures in a library, or perhaps a mystery involving a librarian.
Sure, The Personal Librarian is indeed historical fiction. It weaves a story set in a specific historical period, often incorporating accurate details and cultural elements of that time.
As I don't know the exact 'the librarian novel', it's difficult to say. But surely the librarian is one of the main characters. There might also be a regular library patron who has a special connection with the librarian.
Not necessarily. While a librarian assistant might engage in sharing information or recommending books, formal story telling isn't always a core part of their job.