What's "in my own right" mean?

Native speaker’s answer
Rebecca
"In one's own right" is a phrase that means one is known for something as a result of one's own accomplishments, qualifications, or efforts, rather than being associated with someone else. You might often hear this used in reference to people (related to successful/famous people) who succeeded on their own. Ex: He was a successful businessman in his own right. Ex: My parents are famous artists, but I want to succeed in my own right.