I have two pumps. One is located in my basement and the other is somewhere outside. The pump inside is working now. But the outside pump is not. We found the well but there is no pump. How would we be able to even find this pump??

How would we be able to even find this pump??
You have a submersible pump.
Follow:
1) The water service line **OR**
2) The power Back to the well head.
You may have to dig a little but, trust me" you'll find the well head at the end. Good luck, Tom

When you look down the well shaft do you see one maybe 2" black plastic pipe and a much small one? If so that's the submersible Tom is talking about, your pump motor is at the bottom of the well

When we look down the hole there is only one pipe. But there are no wires going out to this hole. Could it be buried in the ground somewhere possiable?

What makes you think you have two pumps? Maybe you have a shallow well system. It has one pump... the one you can see. There are no wires going into the well because there is only the one pump. If there is a submersible pump in the well, what would be the purpose of the second pump?