This bridge is in Warren county, so your initial post is technically correct, although replacement isn't supposed to begin until 2014.
Forget my earlier statement. This bridge is still in use. The one I was thinking of is further S on this road, crossing North River. Would be in Warren County.
I think Clover Hills Drive Bridge not be accessible anymore. The road has been barricaded about 2-3 mile S of overpass over Hwy #5. Walking access only?
Also barricaded at access coming from the South.