There is a gift tax implication for your mother, but not for you.
The IRS requires that a gift tax return be filed if the home being
quitclaim-deeded to one's children exceeds the annual gift tax exemption
amount of $15,000. File all gift tax returns using IRS Form 709. The giver must file the gift tax return. There will be no actual gift tax due because there is a lifetime gift/estate tax exemption of $11.4 million, but a return must be filed for gifts that exceed the annual exemption amount.
Forgiveness of amounts owed is a personal decision.
https://www.irs.gov/pub/irs-pdf/f709.pdf
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
