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If you can not afford an attorney you should contact Legal Aid as they can help you for free. I should remind you however, that if it is found that you are capable of caring for and providing the necessary activities for her, that disability could lower your benefits as that would be a sign of your improvement.
As far as the custody battle though, unless she can prove abuse or neglect then it is more than likely you will be awarder joint custody especially since you do not work and are able to be home with the child, you may even be able to fight for sole custody. The court will look at what is in the best interest of the child and that normally means being with both parents as often as possible with a joint custody agreement.
To contact Legal Aid go HERE and for more information go HERE.