Thank you, bertsmobile1.
Checked choke; no movement at throttle up.
Thank you, Rivets
1. Engine : Briggs & Stratton 20HP 655cc V-Twin 406777013931
2. After initial black smoke engine evens out and runs smoothly throughout throttle range with no more smoke. Throttles down smoothly and idles without a miss. Throttle up and, again, black cloud.
3. The machine sat idle for five or six years then was sent to shop in a no start condition. The shop found bits of rubber filler cap gasket in tank and filthy OEM carburetor. Tank and carb were cleaned, fuel lines blown clear, oil changed and air and fuel filters replaced, then filled tank w/ ethanol free fuel. When returned last week, the tractor cranked right up and idled fairly well though the aforementioned black belching at throttle up was evident and when running at full throttle it popped and coughed lightly throughout usage. When throttling down the engine would intermittently backfire through the exhaust. I should note no mower load applied as I use the machine to tow a small dung cart as I pick droppings from the pastures on the wife's horse ranch (yeah! I'm a lapdog).
On seeing the black smoke and hearing the popping and coughing, I thought I could improve on the shop's work so I researched you tube and completed the work detailed on my previous post. The only improvements I effected however, was eliminating the popping and slight coughing of the machine as it ran under power.
4. The carburetor is aftermarket bought from Amazon.
https://www.amazon.com/dp/B076J59G4T?psc=1&ref=ppx_yo2_dt_b_product_details
I've, of course, saved the OEM carb and intend to fully analyze it.
Thanks so much for everyone's help.
Jules