If the person I am living with has significant medical bills and cannot pay those bills, will claiming her on my taxes keep her from being able to file for bankruptcy?

In the Western District of Kentucky, the trustees will generally look at the entire household income. Therefore, if you and the person you are living with are in a relationship where you are sharing income, expenses, etc., the trustee will generally consider your income in that person's bankruptcy. However, it sounds as if there are probably extenuating circumstances. The person may be "judgment proof," or able to file even counting your income. It is best to seek the advice of an attorney. Each circumstance is different, and you need to get the answers based on the specific details of your specific situation. The insitial consultation is free, so there is not a cost associated with having your specific questions aswered.