In the first room, there is a dwarf statue and an ore cart. All of the ore carts in these mines act like chests -- they can have items inside them. The statue here can be revived by using the Elixer that you got from the dwarf king when he gave you quest 14. Just click on the statue while carrying the elixer and the dwarf will join your party as an NPC.

From this starting room, take the west exit. It leads to a room where the passage forks. There is another dwarf statue in this room. The west exit from this room quickly leads to a dead end. The north exit leads to another fork, both of which end rather quickly, although the north fork ends with another dwarf statue.

Returning to the entrance room, take the east exit. It goes mostly straight, with almost no branching, but leads only to an ore vein and a journal entry scroll.

Back in the starting room, take the northeast exit. When you get to the fork, go north. It quickly ends, but there is a dwarf statue at the end of the passage. Continuing east, the passage will end in a water-filled room with a dwarf statue in the pool.

Returning once more to the starting room, head north, and turn east at your first opportunity. When the passage next forks, the east fork will dead end and the north fork will lead to a room with a dwarf statue. Returning to the main passage heading north, you will arrive at the lift that leads to the lower level. In this room is the last dwarf statue. Returning to the king with all seven dwarves will complete the quest.