I would suggest that you try to find a roommate, as that would ease the payments on your home. I wish I had extra money to send, but I don't. I really do feel bad for you, as I have a 16 year old daughter myself, and can't imagine her being out there alone.
Could you maybe talk to your mother again? Maybe she would reconsider?
Also, try contacting local churches, as they may be able to help you, especially since you're only 16.
In the meantime, I'll pray for you. God Bless!