Medicaid doesn't cover prenatal care. But labor will be covered. Go to the Job and Family Services and talk to a case worker. No need to say that you are illegally in the country. At first they will offer you to file a form, my suggestion do not do that because all the information will go in the system. I have done it myself. You may be eligible only for WIC progarm- Women and Infant Children. I am not sure whether it is welfare or not. I was told that it is not. I have also heard about catholic hospitals that provide prenatal care with no charge. Try to find any of those.