We don't know if she is receiving Welfare or any other State or Federal $$ to support her and the children,  BUT let's say she is. Considering her personal liabilites it's more likely she has a history of not keeping a job, sustaining relationships i.e., the elements that make for successful independent living. If all that is true...then this case needs agency coordination...a problem in big government. State remove children and place with relatives or find special family to foster or general foster care...bottom line keep them safe. Full jail time for "crimes" committed, NO plea deals. Suspended license until sober 5 years. Discontinue all State and Federal $$ support, no access to "free" cash. Exception...referral to housing and group support for those completing jail/prison time. If allowed to return to "welfare" support she will be forever enabled and never have a chance for sobriety or Motherhood. AA is free. Long painful story short....it's up to her to make quality choices.