
The hard part about this is that even though the festival had not trademarked the name, what we understand matters legally is how long the name has been in use, and if there is a "likelihood of confusion" between the two names. If the "other" party has been using the name longer publicly than you have, what we understand is that they have the right to sue you for using the name after they started using it. They can do this while they are pursuing a trademark, and if you try to trademark the name at the same time, you more than likely will probably not succeed.
Another issue is that even if you search the Trademark Database to make sure the name isn't trademarked, it could still be in use. The only thing you can do is to search Google to see if anyone else is using the name and if so, don't use the name or contact a lawyer to see if that use is problematic. You could even trademark the name yourself if you wanted to be very safe.
This is a tricky situation. New innkeepers, especially, need to be careful. One lawsuit could close your business before it even gets started. Check your sources to make sure you aren't stepping on anyone's toes before you name your business.