If you continue to head straight you'll be treated to an abandoned scrap yard, filled with all sorts of rusted and forgotten treasures. Be careful exploring off trail, a good portion of the area is overgrown. I've had the displeasure of sinking knee deep into piles of twisted metal and broken bottles there. The trail itself is safe. Enjoy the abandoned cars along the trail. Look for a tree growing out through a discarded refrigerator.
If you veer off to the right at the first fork when entering the woods, you'll eventually find an abandoned home and large rusted metal shed alongside the trail. The home is covered in juvenile graffiti, which detracts somewhat from its appeal for me, but it is still fun to climb around in and look at the textures decay has brought it.
The trails you are on will eventaully meet up with a stretch of the Genesee Valley Greenway.