Janet, I also agree that there are many good comments provided below.
This is a legal question and you should consult with a real estate attorney.
Please note that you mentioned a lien â€“ a lien is a notice attached to your property telling the world that a creditor claims you owe it some money. A lien is typically a public record. A lien is not recorded on equity but, on the property itself.
Separately, if you had work performed by a contractor to improve your property (i.e., Kitchen remodel, room addition, etc), that contractor may file a mechanicâ€™s lien against your property if the work performed was not paid in full (again, it has nothing to do with the equity).
Title & mortgage are two separate issues and the previous comments provided the appropriate response.
It cannot be over emphasized that there are many unknown details related to your situation that has to be considered. The bottom-line is that if your name is on the mortgage - your home and your credit is likely at risk if the mortgage is not paid.