When I get to the outside building, I want to use one of the wires on 2 110 breakers for a ground. Will it work to use one ground for both breakers and get 110 out of each?
And also, I was wondering if I could run a hot wire to a building and ground the breaker
With a ground rod at the building and get 100 out of it.

Sounds like you are way off base. What are you trying to do?

Sounds like you are way off base. What are you trying to do?

For instance, If I run a 220 wire to a building, I would have 2 hot wires and 1 ground.
If I wanted to, could I split it up and have 2 110 receptacles with 1 ground, rather than
The 220.

You need to hire an electrician is what you need to do. With limited knowledge of wiring you are only going to create problems. Don't attempt this yourself. Hire a professional.

Your question does not make sense. If you have a straight 240, 2 wires and a ground, you can't make 120 since there is no neutral.

With a 2 conductor cable which is 3 wires (2 conductors and a ground) you can have either 120V service which requires a neutral or you can have 240V service, which does not require a neutral. The ground is not a neutral and cannot be used as such.

The cable must be approved for exterior use or approve for underground and must be sized (the #10 part) for the amperage draw.

Hire an electrician. You are out of your field of expertise.

Factually true, right down to the part that the OP needs to hire an electrician.