Well this issue is due to the environment they are living in where parents have fear.
Definitely they love her but they way they are behaving is not good.
I think parents need to be told that if she uses her rights in westren society then they can't do anything. It's better treat her with love and respect. On the other hand that girl has to understand the meaning of life. It's her test while being good human because Allah subhantala tests good people. So she needs to pass through this test as well.
Better find good person for marriage and live the way she wants within the limitations given by Isla,