First let me say that I am so sorry for your loss. I would recommend that you seek out advice from a competent probate attorney to determine your options. Generally speaking a property owner is not responsible for any note they did not sign. But that doesn't mean the lender may not be able to foreclose on the property and take the property from the current owner.
If there is any equity in the property and you are over 62 years in age you may be able to get a reverse mortgage which would allow you to stay in your home. You do not have to have good credit, a good mortgage payment history or any income to qualify.