I heard the only food places to go to is in the town of Logan. How far is logan from the Hocking hills?

Agree, about 20 mins. Not far!

I'd say it's a good 20 minute drive. I would be the place to go for supplies.

Logan is about 20 minutes away and there are several restaurants. You can also get pizzas and deli sandwiches at Grandma Fayes which is less than a mile from the park. https://www.facebook.com/pages/Grandma-Fayes-Grocery/151519008193617