* A fictional organization: If it is part of a book, game, or other fictional work, the creation date would be determined by the author.
* A private investigation agency: If it is a real agency, it would be difficult to determine the exact date of its creation without access to its records.
* An informal group or project: It might be a small group or project with no official founding date.
To get more information, you would need to provide more context. For example:
* What is the context of "Half Moon Investigations"? (e.g., a book, a game, a real-life organization)
* What is the source of your information? (e.g., a website, a book, a conversation)
Please provide more information so I can help you further.