To find the dwarf with the green ring in Second Hand Soul in Dwarves Favours turn around at the locked door, jump across the gap and throw the axe at the seal:
Drop down the the lower platform and follow the path until you are below the broken bridge in front of the door. Throw the axe at the second seal to the right of the locked door:
Go back along the path to the chain and drop down. Lift the gate ahead and destroy the seal:
Go back to the previously locked door and go through.