Dear client,
Based on the information provided, it appears that your father and uncle jointly owned the bungalow and entered into an agreement that the first floor belongs to your uncle and the second floor belongs to your father. The first step to transferring the second-floor property to your mother's name would be to establish your mother's legal right to the property. This could be done by obtaining a succession certificate or a probate order from the court.
Once your mother's legal right to the property is established, she can approach your uncle and request that he transfer the second-floor property to her name. If your uncle is unwilling to transfer the property voluntarily, your mother may need to initiate legal proceedings to enforce her rights.
It is important to note that the terms of the agreement between your father and uncle would also need to be considered, as they may impact your mother's claim to the property. It may be advisable to consult with a lawyer who can review the agreement and advise on the best course of action.