To resolve the issue, we need to identify the person who actually paid for the winning ticket, which is the girl. This person is considered the rightful owner of the ticket. If the ticket was purchased jointly by both of them who agreed to split the winnings after the fact, then that does not make all of them owners. However, in this particular situation, the man may be trying to keep half of the winnings for himself, despite that the woman is the one who purchases the ticket. This matter will need to be resolved in a court of law.