Here is my deduction:
The throttle is not fully being closed by the linkage. I assumed that the linkage is supposed to be that way, but after some consideration, I'm not so sure.
It appears the linkage that is on there is holding the throttle plate open anywhere from 1/4 to 1/3 of the way open. Me assuming it was correct, I was trying to adjust the idle air when the butterfly was calling for more fuel. Ain't never gonna adjust properly.
The arm on the throttle mechanism cannot travel any further forward to close the butterfly more.
Since I am not the owner, I have no idea what someone else may or may not have done. Looking at the end of the wire that connects the rod to the arm on the throttle shaft,
it appears to me to have been cut with a pair of pliers or dikes, as it is a bit pointed. I would assume the factory ground the ends flat before bending the wire.
On a whim, I removed the carb and removed the throttle linkage, but left the choke linkage in place. I manually closed the butterfly/shaft until it stopped completely and tried to start it. It would not start.
I then held the butterfly open just a very little bit and it started right away and idled nicely at about the right speed. I adjusted the idle air until I found the "sweet spot". I then open the butter fly wide open and adjusted the high air until it quit putting out any black smoke.
I then returned it to idle and back to wide open slowly a couple of times and it accelerated nicely. I then snapped it wide open from an idle and to my amazement, it jump right up to full speed without any hesitation or stumble.
I then removed the carb and hooked up the throttle linkage and reinstalled. Back came the problems of it not wanting to idle or accelerate and putting out black smoke when given any throttle.
Any suggestions???? Could it be a governor issue?