1: Math section
2: Rhetoric section; basilisk and a cloak of displacement, a potion of giant strength, a potion of healing, and a scroll of two Restoration spells
3: History section; journal entries 8, 21, and 37
4: Philosophy section; journal entries 7 and 19
5: Overgrown garden now inhabited by green slime
6: Illuminator’s gold foil - worth almost nothing
7: Madman cowering in corner
8: Manual of bodily health hidden in trash
9: 3 Potions of extra-healing hidden under a floorboard
10: Kobolds with information
The doors to the library are magically locked - you will need to use the Knock spell to get in. If you don’t have any mages in your party who can cast Knock, you may be able to hire an adventuring companion (look for a theurgist) at the training hall who can cast Knock.
Look through the library stacks - you may have to do a bit of searching to find everything. Taking the info you find to the city clerk is worth a nice little reward. In the Philosophy section there are a couple of books you can find that have no journal entry associated with them but are still worth a reward to the city clerk. If you try to leave the library once you have taken anything in it, the spectre of the former head librarian will manifest and attack you.
The madman cowering in the back corner will babble a lot of nonsense (or is it nonsense?…) if you approach him and talk to him or simply wait and listen. If you speak to him in a nice manner, you can insist he join your party. The only thing that will happen is that once he gets back to the civilized area he will freak out and scream and bring the city guard.
Nearby is a room inhabited by some kobolds who will immediately surrender upon seeing your group. If you spare their lives they will relate journal entry 10 to you. It is a map of the Cadornal Textile house.