After getting rough directions from the innkeeper, once again the party heads south - the same general direction as the docks - but you reach a large street (Drake Street, he said) and turn more towards the west.
This route still has plenty of mud and occasional crowds and unpleasant odors, but it's better than the poorest neighborhoods you saw yesterday.
You need to ask directions a couple of times, but eventually you make it to a small fort-like structure in a very old part of the city. Signs proclaim this to be the Mages' Guildhall.
The door is not locked, and inside you find a reception room, with four young people (a male human, a male elf, a male gnome, and a female human) poring over scrolls and books around a rectangular table.
"Hello. Can I help you?" the gnome inquires.