I have been there myself (minus the addiction) & have triumphed as well. I don't know my father, but my mother was very supportive; however, she lived in AZ & me in Nebraska! Her support was limited to daily collect phone calls from me! LOL
At one point my twins, who were 5 at the time, and myself (very pregnant with my 3rd child) slept in my car. We went to battered woman shelters to eat dinner & would leave the next day. I stayed with several friends & even family of their father's until my Section 8 (housing assistance) came through. My children & I moved into our 1st place together with no TV, no car, no phone, no dishes, nothing! We had an air mattress & 2 pillows...but it was the best feeling in the world! My mother sent me $350 to buy a HORRIBLE rusted out car from a neighbor of a friend! I've never been so proud of a car in my life! I eventually had my baby, graduated college & am completely off assistance. I know in rural areas it can be tough but there are programs to help.
Have you applied for any type of rental/housing assistance or welfare? What about child support? Don't be afraid to ask for a hand up to get on your feet! I know in Nebraska if your on welfare & you start work they will give you a voucher for a car! Welfare To Work/Employment First Program. While you're a single mother you will qualify for tons of grants/loans for school also. You can get living expense loans to help out quarterly, etc. Apply for everything you can get your hands on!! Get that social work degree girl!!!