Start with the recorded deed: it shows whose names are on the property record. A divorce agreement, judgment, or court order about the house may also affect the sale. Who lives there or pays the bills does not, by itself, answer what this closing requires.
There is not one signing answer for every house. The title company reviews the deed and relevant divorce papers to confirm which signatures and documents are needed for closing. A Georgia family-law attorney can explain what an agreement or court order means for your situation.
You can talk with us while that review is happening. You do not have to settle every disagreement before asking about the house.