I cannot tell you about Georgia laws or practices specifically. For that, you will have to consult with a local elder law attorney. However, the general rules are that the state may not collect on the lien while your mother is alive, but can after she passes away. However, joint ownership (depending on the state) may defeat the state’s claim even then since it avoids probate. Again, you will need to consult with a Georgia elder law attorney for a definitive answer.
For more on Medicaid's power to recoup benefits paid, click here.
For more on protecting a house from estate recovery, click here.