The container is a small container with enough room for a ziplock bag with the log in it. And that's it. So bring your own pen. While exploring the area take some time and look at the grave markers. Most of them are placards right at ground level, sadly overgrown and not well kept. Looking at the admission/birth dates and death dates it seems to be a lot of patients didn't live too long. Although we found one patient that appeared to live to be 99 years old. From what you can read about the hospital (http://maskofreason.wordpress.com/the-book-of-mysteries/eerie-ohio/lunatic-asylum-of-ohio/) the patients might have suffered mistreatment. And the fact that the patients weren't claimed to be buried in a family plot (or else their families couldn't afford a proper burial) it's quite a somber place. No flowers or presents to be found.
When parking, there is a bit of parking available on the right side of the street. It's not a long street so use your best discretion. Be respectful of the residents across the small street, since it's quiet and a bit out of the way. They seem friendly from our experience making the initial hide. Also, the Columbus Developmental Center is right next door, which isn't available for parking. As typical with most cemeteries, this is a daytime only cache!