MC 1.6.2 Adds a nametag, which can be found in chests around the world. Put a nametag in an anvil, and rename the nametag. Then right click your dog (or other animal) to name it. (If you name it "Dinnerbone" the animal will become upside-down)
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You either feed it apples or wheat, then you will see the name your pet screen.
You can not tame a villager in Minecraft. They can not be used as a pet such as wolfs and ocolots.
You have to give it bones.
feed them raw fish
Unfortunately, you can not change your name on Minecraft!