Kermit54,
I'll take a guess. Once the throttle comes off idle, you are utilizing a different circuit of the carburetor. If you VERY slowly advance the throttle to negate any accelerate pump function, and the engine still gasps and stumbles, I think the accelerator pump isn't the issue.
It sounds like you have a passageway or metering jet plugged. I would try two procedures before I removed the carburetor again for another inspection.
I would cross two plug wires and start the engine. This will cause a pop back through the carburetor that will sometimes clear a plugged artery.
A second shade tree procedure is to get the engine running as fast as you can, however you can, and clamp the palm of your hand over the air horn choking the engine until it stops. When you do this, make sure the throttle is wide open until it dies. This procedure will sometimes help clear any junk from the carburetor.
These are easy to do, won't cause ill affects, and have worked for this "okie mechanic" in the past. Keep us posted.
Stuart
