There should be a large-ish ground wire usually from the rear of the engine to the firewall. At least a 10 or 8 gauge wire, sometimes it's a flat braided strap. Example illustration below.
Corrosion or paint at the connections is not a good thing.
Assuming the car is not '55 or earlier or wired for Positive ground... the 'other' end of the large battery Ground / Negative cable should be attached to the engine, not the body. Check for loose bolts, paint or corrosion at the connections.