Originally Posted by ScottGem
If she is in a shelter and applying for welfare and its not because of anything you did, then you should be able to get physical custody. Its clearly not in the best interests of the children to live in a shelter when there is a home environment for them.
I would definitely get a lawyer. the first step should be contacting children's services and have them take charge of the children and give them to you in temporary custody. Then you can file to make the arrangment permanent.