Dreams' library...

Or it would be "the dream of to have a library"? I think both are right, because one of my dreams is have a library, and at the same time is have "the library of my dreams".
With many, many, many, many, many books! Sort books. Organized by the last name of the authors, in high shelving, so high that we will need to use stairs to get up... As high as my dreams!