The Lakeville Ironworks Trail passes through several interesting areas with interpretive panels about mine ruins and other features. One suggestion would be to do this hike as described all the way to the second to last sentence, and then follow the following description (which may add .25 mile or so of mileage to the hike):
Turn right and follow the blue blazes along the road. In a short distance, turn right onto the Lakeville Ironworks Trail (yellow blazes with black shovel/pickaxe symbol). You will cross over a wooden bridge and then pass through various mine ruins. The trail eventually meets Old Forge Road, which you should cross and continue on the trail across the road. After crossing another bridge and other ruins, you will again reach Old Forge Road in a different location. Cross the road and continue following the yellow blazes, and you will soon reach the impressive Sterling Furnace on your left. Continue a short distance up the hill to reach the blue-blazed Sterling Lake Loop Trail. Turn right and follow the blue blazes back to the visitor center.