What happens when a mortgaged house was built on the wrong land?

That should work assuming your father isn't responsible on any note associated with the property. If there is a mortgage and note, you'll want to talk with the lender first.

Caveat- I'm a Pennsylvania lawyer. That being said, a quitclaim deed gives you the exact same rights as the party conveying title to you. So if there are liens against the property, for instance, those liens would remain after you take title. Preferably, you would have a title search performed and receive a warranty deed, which would protect you against claims against the property.

A quit claim deed is like a warranty deed for a permanent transfer of ownership to a property after the applicable consideration of payment.

If your Texas home sold for more than what you owed, you may be entitled to what is called surplus or excess funds. These funds are held by the county or trustee after foreclosure. To claim them, you must file a petition for release of surplus funds with proof of ownership and sale details. An attorney can help confirm eligibility and make sure you recover the full amount before others claim it.

The quick answer is likely no. If someone has executed and filed a quitclaim deed, they have no interest left to sell. Any buyer is going to review title to the property and not accept deed from the parent.