Any time Scarlett is in the Tavern of the Inner City, she will see a Citizen standing on the slightly raised platform to the eastern side of the taverns common room. Speaking to him will give Scarlett this quest. (Click on map to enlarge it.)
This quest is optional, though it is required that Scarlett meet with Liora in the Skullbreak Tavern, as she is the key to gaining access to Largo, among other important things. The quest itself is just a way of introducing Scarlett to Liora. (Click on map to enlarge it.)
Liora is sitting at a table in the lower level of the Skullbreak Tavern, not far from the bar. Speak with her and deliver the note. That completes the quest (there's no need to return to the Citizen who gave her the quest.)
Liora can be of help to Scarlett in several ways. She can introduce Scarlett to the district administrator, Largo, via a letter. But first, Scarlett will need a high reputation and have to fulfill a quest to earn Liora's trust.
- The Voice of the Dead - Speak with the ghost of Liora's husband to earn Liora's trust.
- Chasing the Black Grimoire - Liora can introduct Scarlett to Largo, who knows where Sophistos is.