Problem: If "Mary tucked her daughter Anne into bed, so that she could sleep.", is "Mary tucked her daughter Anne into bed, so that Mary's daughter could sleep." correct?

Answer: yes

Problem: If "The city councilmen refused the demonstrators a permit because they feared violence.", is "The city councilmen feared violence." correct?

Answer: yes

Problem: If "The painting in Mark's living room shows an oak tree. It is to the right of the bookcase.", is "The painting is to the right of the bookcase." correct?

Answer:
yes