Peter Miller's Room The Historic Eureka Inn and Event Center offers accommodations in Jonesborough, 8.4 miles from Tweetsie Trail and 8.8 miles from Hands On! Discovery Center. The air-conditioned accommodation is 6.6 miles from George L. Carter Railroad Museum. The accommodation is non-smoking. Guests can also relax in the garden. Tipton-Haynes Historic Site is 9.4 miles from the homestay, while Bristol Motor Speedway is 21 miles away. Tri-Cities Regional Airport is 15 miles from the property.