First, Is the car fuel injected or carburated?
If Fuel Injection, should be near dead quiet. you might hear a whirring.
If it is carburated. Locate the fuel pump and determine what type. Facets are square about an inch and a half by two inches. These can be really noisy when directly mounted to the body. I have used rubber isolation mounts. favorite is VW Golf/Rabbit radiator mounts to keep them quiet. I have also seen on the front mounts, foam and zip ties to mount the pump to the cross member or stering rack. I dont recommend this approach, but if you have a facet and it is solid mounted. It is a good way to test to see if it is what the problem is.
I personally think that the facets can cause problems with carbs because they can cause surging/pulsating. If you use a pressure regulator, this should not cause a problem. My solution is a low pressre vane style pump, holley etc..., and a pressure regulator.