Nope. They all think it is THEIRS.
I understand NASA's position. We all paid for this, so it's unfair for any individual to own or profit from it. It has long been understood that anything collected from the Moon belongs to NASA and it is a crime to own or claim to own it privately. It sounds like this woman lawyer got lucky. I haven't read the case, but assume the court determined her to be a bona fida purchaser for value without notice and awarded her ownership on that basis.