Just after you see the girl run off, head down to the left to get a Coronet and a Dragon Wrist.

Return to the main path and follow the girl. Pick up the Elixir on the left. After you go over the bridge, climb down the webbing twice to pick up a Remedy.

Go back up to the middle level and jump across the gap to get a Mythril Racket. Climb down from there to get a Demon's Vest and then cross another bridge.

Just after you cross the bridge, go through the tunnel on the left and curve around to get a Minerva's Plate. Continue up the stairs to Bran Bal.