It's possible that:
* She may not be a professional background singer. Perhaps she was a local performer or a friend who sang with Joe Cocker on a casual basis.
* Her name is slightly different. There might be a slight variation in her name, like Maxine Greene or a similar spelling.
* Information about her is not readily available online. While some background singers are well-known, many remain anonymous or have limited online presence.
To find more information about her, you could try:
* Searching for her on social media platforms.
* Contacting Joe Cocker's management or record label. They might be able to provide information about past collaborators.
* Checking online forums and fan communities dedicated to Joe Cocker. Fans may be able to offer insights or have more information.
If you have any additional details about Maxine Green (e.g., specific performances, the time period, etc.), it could be helpful in finding more information about her.