If your name is not on mortgage application can your name be on the mortgage title?

In most states this is possible. Contact a title company or local real estate attorney. You may be able to do a Quit Claim Deed adding yourself to the Title.

This will require the person who is currently on title to sign and approve the addition.

If you use the title company that did the original work for the mortgage they may not charge to draw up the document. My Escrow Officer will frequently do these documents for my clients at no charge.

You will usually have to pay a small recording fee with your county recorders office.