That’s a strange use of the words “own” and “property”. I should hope that’s not how we would describe a healthy family, where parents raise and nurture their children to be healthy, independent people. This is quite unlike a person’s relationship to, say, a book that they own. Is the difference in relationship not apparent?
How can a country be yours if you don’t own it?
How can a street be yours if you don’t own it?
How can a favorite color be yours if you don’t own it?
How can my valentine “be mine” if I don’t own people?
If you don’t take ownership of your problems, how can they still be yours?
Perhaps the key to all these questions, is that there are senses of “having” something, or such strong identification with it, that we call it “ours” (it is related to us) in a sense quite unlike physical property. Perhaps we shouldn’t reduce all sense of “my/own/ours” etc. to property ownership.