No one at my Lodge seems interested in having a Lodge library.
I was surprised to learn several years ago that many Brothers have very interesting books, so I had an inspiration to have a 'virtual library.'
I started a card file, first categorizing my own books, then announcing in open Lodge the "Wayne Lodge Library," which would be books staying in the homes of their owners, but with a central list (my card file) inventorying the Masonic books of the members.
I got a few books listed on the cards, but there was never any activity.
Maybe it could work for you.
S&F