The answer to this question would depend on the specific laws and regulations of the jurisdiction where the divorce and property acquisition took place. In many places, property acquired after a divorce is considered separate property and does not automatically belong to the former spouse.
However, there may be exceptions or specific circumstances that could affect the situation. For example, if the house was acquired using marital assets (assets acquired during the marriage) or if there was a court order or agreement related to the division of assets during the divorce, it could potentially impact your mother's claim to the house.
To get accurate and reliable advice, it's essential for your mother to consult with a qualified family law attorney who can review the specific details of the divorce settlement and the circumstances surrounding the acquisition of the house. They will be able to provide personalized guidance based on the relevant laws in your jurisdiction and the specifics of your mother's situation.