If your name is on the deed you have ownership. Since you have ownership you would have been required to sign the mortgage. This is the document that allows the lender to place a lien against the property you own as security for the debt that was established by the person or persons who signed the Mortgage Note. If you are not obligated for the debt by having signed the note, you are not responsible for the repayment of the debt. BUT, if the debt is not paid the lender who holds the mortgage is legally allowed to foreclosure the note and collect their collateral by judicial means or by means of the owner(s) signing a deed to the lender in lieu of foreclosure.