The idea of ownership may be troubling because it conjures up notions of indelicacies such as slavery (chattel-like property) or the Stockholm Syndrome (identifying with one's captor) as well as other forms of victimization.
While I do not own my wife in any legal sense of the word, she knows that she belongs to me in an exclusive bonding. At the same time, there is no other woman in my life—and has not been for almost forty years.
Ask my wife if I own her and she might reply that I do. At the same time, she is quite aware that she possesses me as well.
Over the years, we have become something more than either of us could have been on our own.