These are risks a standard title search through Information Services Corporation is designed to catch, but no search is perfect, and fraud in particular can surface years after a legitimate-looking closing, which is exactly the scenario title insurance is priced to absorb.
A lender's policy responds only to the lender's loss, so a buyer relying on that alone is not personally covered. An owner's policy is the piece that protects the buyer's own money, for a modest amount on top of the legal fees, $800 to $1,500, a lawyer charges to close.
If you are unsure whether your closing package includes an owner's policy, ask your lawyer directly. Get your hand-reviewed valuation from Joel Dyck.