here. Click here to learn more about the Laurel Fork Railroad. Click here and here and here for more information and discussions about this popular waterfall.
Directions: Hampton, TN is located between the cities of Elizabethton and Roan Mountain on Highway 19E. Once in Hampton, turn north onto route 321/67 toward Mountain City. Drive 0.8 miles and turn right immediately in front of the Citizen's Bank onto Dennis Cove Road. Take this incredibly curvy and steep road for exactly 4 miles to a parking area and trailhead on your left. From here, begin your hike on the main trail on your left (which is actually the AT -- look for the white slashes on the trees. The smaller trail on your right meanders through some camping areas). Click here for map.
Here's a really good video of the hike into Laurel Falls on the AT from Dennis Cove.
This video is also well done, describing the hike and giving some good photography tips.