You begin this chapter in Old Quarter Cliffs - Mine Tunnels through which you have to pass to find Orion. Begin from searching the starting area vicinity and pick up an Ancient Ingot - 17G. Now you have to choose your route. It's important decision as there are new monsters. First creature patrols the nearby, main path and if you want to choose this one, you have to react somehow. You can convince monster to get closer to the oil spilled on the lower level or wait for it to pass Garrett, climb and walk away before it returns.
If you chose the main path through the tunnels, you'll find second Ancient Ingot - 17G and reach the closed door. Use a lockpick on the door but don't hurry to open it, because there may be a monster on the other side. Look through the keyhole to make sure there isn't an enemy and move on. Mentioned monster patrols the next part of the main path. You can avoid him by walking very carefully behind his backs or jumping onto the lower level. In the second case, you have to watch out for two monsters about which you get to know more later on.
While traveling the upper path, try to find a latch shown on the screen above. Use a Rope Arrow to let Garrett reach the shelf. Here he finds Ancient Armlet - 32G and Ancient Vessel - 48G. Return onto the upper path and move on. Path ends where Garrett has to jump down onto the lower level (southern part of the mine, next to the exit).
Second way includes getting through the lower level of the mine. In this case you have to look for a small entrance next to the beginning area. Use this passage, but be careful as there is a single monster nearby. It's simple as the monster shouldn't move. I recommend to risk and collect all items nearby this creature, which are two Ancient Ingots - 2x17G and an Ancient Vessel - 48G.
Resume walking and you'll run into the new monster wandering through the lower level of the cave. You can wait until it stops somewhere and then sneak behind its back or use the claw and climb onto the higher level. . But don't give up searching the further part of the lower level as you can find here: Candlestick - 15G, Poppy and chest. Use lockpicks to open it and inside you find Turquoise Brooch - 27G, Hairbrush - 10G and The Pinned Castinets - Mourning Bell.
Both described path takes you to the southern corridor. Head west and use lockpicks on the closed door. Garrett will notice a huge boat far away, which becomes your current goal. Jump onto the lower level and reach the Old Quarter Cliffs - Old City Bluffs.