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If you think it might be shock related, just disconnect the links or arms and take the car for a short drive. If it continues to bounce, the shocks were not the problem. Keep looking.
Check the wheels for roundness. One or more may be out of round or bent. If the wheels have numerous bent spokes, chances are good that the rim is not true, which will cause the car to bounce and/or vibrate at certain speeds.
Also, Firestones and Goodyear tires from 20-25 years ago were egg-shaped when brand-new. Unless the tires were trued on the wheels by a special cutting machine and then balanced, the car will bounce. In the late 1990's, I put all new 19" Goodyears on my '31 DeLuxe Roadster and until I finally took the car to a hot rod shop to true the tires, the car bounced like a clown car in the circus. If you are running older Firestones or Goodyears from that era on your car, that might explain the bouncing.
Marshall