However in case of the following scenario you can access the google's support network and demand the IP Address that was hosting the content on googles servers. For example following scenarios are open for people to ask for information.
1. Terrorism. If police and the government of US and other countries can prove the data being used for terrorism, then they can ask for user information.
2. Criminal activity. If the users account is used for criminal activity on YouTube then it is possible for asking for the data using the police guidance.
However copyright, trademark and other information being shared does not lead to any way for google to give out information to every random user. You can't even ask them on stolen videos reason to demand the user information. In past many creators and the original video owners tried to legally sue such people but that didn't worked out. No hacker, and security expert can find out who owned that account from googles server.