U did great mistake of providing you info for your mother;s treatment . It depends upon what is your income level now. If you make below 40K just apply for finnacial aid to the hospital they will make arrangement. Try to negotitae with them for less amount . Or trying paying small amounts per month. If you are really not worried about your credit history just simply don;t pay it they can;t arrest you anyway . I don;t think that hospital is state owned. Otherwise state owned can issue warrant for you. As per my knowlege
*Disclaimer--This is just an suggestion not any legal advice*