Problem: If "Alice tried frantically to stop her daughter from chatting at the party, leaving us to wonder why she was behaving so strangely.", is "Alice's daughter was behaving so strangely." correct?

Answer: no

Problem: If "The woman held the girl against her chest.", is "The woman held the girl against the girl's chest." correct?

Answer: no

Problem: If "Joe has sold his house and bought a new one a few miles away. He will be moving into it on Thursday.", is "He will be moving into The new house on Thursday." correct?

Answer:
yes