I just went thru this exact thing with my 51Kaiser. The car had been sitting for about 2 years and was only cranked about once a month. I check the fuel pump discharge and notice that at low RPM supply seemed adequate but at increased RPM (1500-2000)the the fuel flow would diminish. I installed another fuel pump, known to work, and things appeared to be good. Three days later I was running it and decided to take it for a ride up the street. Me and 2 of my friends pushed it 800 feet back to the house, same problem. I thought I was out of gas (gauge does not work). I went and got fresh gas, still same problem. That evening I went to the car and it fired right up, ran great. Next day I fired it up ran 15 minutes same problem. I drained the gas and found I had 12 gallons in it so I was never out of gas. I blew the lines out put fresh NON alcohol gas and same thing happened. I then noticed that the exhaust damper was frozen half closed and began to believe that was the problem so I dropped the project for a couple of days. I the got out the shop manual and studied the exhaust damper cut-a-ways and calculated the open area with the exhaust damper half closed. I considered 2 things, the open area at half closed was larger than the exhaust pipe and the car had run OK before this happened. I decided to give it another shot. I then got some clear hose, put it on the inlet side of the fuel pump and put it a gallon jar with fresh gas in it and guess what? My known good fuel pump was intermittent and finally quit working at all during this session. I bit the bullet and bought a knew mechanical pump after strongly considering an electric one. I pulled the gas gauge, put on a new float, checked the tank, blew out all lines,installed new pump and filters. I Installed new plugs because during all this idling and stale alcohol gas the plugs were wanting to foul. She is purring like a kitten now and it is a very good solid low mileage engine so I am scared to drive it to far or hard with the exhaust damper half closed for fear of possible damage so it goes to the breakfast house,auto parts store,local pub,Lowes,the grocery store,and other low speed short trips. The car has been associated with my family and the local area since new but it is time for it to have a new home with a younger owner with a more healthy attitude and a love for a piece of automotive history.