If you throw something away, is it yours?

Yeah, people who whine that someone else picked up their stuff make me laugh. They only realized what they had once it's gone.

As for adoption, it depends on the situation. If you abandonned the child because you just didn't care about him/her and you literally wished he/she was never born, then I think that person should have way less reasons to still have a certain "ownership", if I should say, over that child. On another side, the child himself has part of the right to either accept to still be partially owned by the parent who abandonned him or to consider not having any bonds anymore. The situation really depends on the context.