How can I fix my mother's papers without leaving the state?

Significantly more information is needed in order to assess eligibilities, options and strategies for your mother. This includes, for example: her current nonimmigrant visa status; her immigration-related history; your own immigration-related status (are you a U.S. citizen); etc. It would be wise for you and your mother to consult with an immigration attorney who, after learning all of the relevant details, would be able to provide legal advice and legal representation.