The Elven Village

After the Taros Shrine battle, head north. There's an opening in the mountains there. Tap up until the Caravan goes into the rocky river, allowing you to cruise the river. Head west and get off when you see the cave. Go south and across the other river.

The Elven Village is in the discolored part of the trees. There's a Vigor Ball and Mithril here in the woods, plus a bonus battle (look out - there are Mist Demons and Blue Shamans if your guys are not ready).

Navigate through the trees around the perimeter of the town to get the Vigor Ball. Continue around and you'll find a mithril.

Continue past the mithril to the path in the trees. Follow it to the special battle (indicated by the red arrow).

The Dwarven Village

You will get to the Dwarven Village after you defeat Red Baron. There's a niche in the river running by the village. Use the Dry Stone and a mud bridge will appear. Go across the bridge and enter the town.

The biggest "secret" about this town is the blacksmith, who makes your mithrils into better weapons. To find him, take the leftmost tunnel.

Go past the dwarf and up the first flight of stairs you see.

Then go north and you can't miss the blacksmith's hole!

To go to the chest containing the white ring, go take the leftmost tunnel (as in above). Instead of going up the first flight of stairs, pass it and there's a second. Take it, and you'll be on the upper level with the chest.

I can't remember for the life of me what's in the other chest, but to get to it, take the middle hole. Go up the stairs right above the priest. Then you're home free!