Ok. You're in survival mode now. I cannot believe that ANY state in this country would allow a court to mandate that a person stay within a particular county. I can understand not being able to leave the state or something like that but an order like that can limit your ability to gain employment. That is simply NOT right. In fact, it sounds downright unconstitutional!
Flip your survival mode switch to ON. And do what YOU have to do to survive. Even if that means appealing to resources outside of your county. If you don't explore those resources, you will never know what the outcome could be.
Your landlord sounds like a good guy. You never know, he may be more willing to help you than you think. I can't imagine being a landlord and putting a woman and her children on the street.
gentle hugs