Hi Marc,
Depending on how you’ve configured things you as the merchant should normally receive a notification email when an order is placed, linking you to the order editor: this view should let you see what was purchased.
If the ticket/product name is ambiguous, such as “Admit One”, you could simply click on it and link through to the product editor – on this screen you should see a meta box telling you the actual event, with a piece of text like:
This is a ticket for the event: {EVENT NAME}
Does that help/clarify things?