Did you know ... according to Wikipedia, the first patent in the United States for barbed wire was issued in 1867 to Lucien Smith of Kent, Ohio.
Fencing wire can be recycled.
Dismantle the wire fence, separating the wire from the fence posts.
Carefully place the used wire into a metal drum and transport to the appropriate facility. By placing the wire in a metal drum the scrap metal dealer can safely compact the wire without it jamming their machinery.