[TR] TR3A fuel troubles

[KingsCreekTrees at aol.com]

Hello All;
 
I drove into the nearest small town today, on mostly straight roads at  
50-60mph. I made a few stops at stores and the bank, then started off for home. 
 After the car had been sitting for probably an hour, it started great. I 
pulled  away onto the highway, got up to cruising speed and then there was a 
sudden loss  of power. It was missing (but not "sharply", suggesting to me 
that it's a fuel  problem and not ignition). Applying more throttle slowed 
the car even more,  applying less did the same. There was one throttle 
position where the vehicle  would maintain about 25mph, but running rough. 
Eventually, it lost more and more  power and finally the engine stalled. 
 
I let the engine sit maybe 30 seconds and tried to start it. It cranked  
over for a longer time than usual before it fired, but when it started it ran  
perfectly. I drove away and managed to get about a mile down the road 
before the  sudden power loss and rough running came in again. This time I was 
able to nurse  it along at 50mph (it's a flat road) as long as I kept it out 
of overdrive.  Eventually, same thing; lost power despite my playing with the 
throttle inputs,  and eventually died. This time I left it a minute before 
starting. It started  almost immediately and ran fine, but it was a repeat 
of the same scenario  several times until I got home.
 
I have done no diagnosis yet, so I could be wasting everyone's time.  
However, if anyone has any suggestions, I'd love to hear them. Maybe a bad  
float???
 
Tim TS22930LO, Ontario, Canada.