Joe Not to disagree with most of what you have said but....on the low speed jets and passages at least on the "Onan twins" I have been able to restore them to working condition without too much effort. The right solvents and a good supply of compressed air + some needles and they can be cleaned....tedious sometimes but doable. Not really any different then a lot of 4 stroke motorcycle carbs as far as the cleaning of them go. It is good of you to offer your time and expertise to Milton, he is a good guy and I appreciate that
Milton run it on high idle and check the solenoid at the back over the cylinders and make sure it is kicking in...on run/idle It should let go after 20 secs or so of run time. Sometimes they get stuck make sure it moves freely and kicks in on RUN switch. Check to make sure all the springs on the carb linkage and the rod running at a 90 degree angle from your solenoid all look right (this rod has a wing nut on it for adjustment with a long spring..it is connected to a rod that runs into the case). If all that looks ok chances are it is exactly what Joe said...your carb is gummed up....it does not make sense that it is out of adjustment with so little use. It is not a difficult job just takes a little patience.
BEFORE you remove the carb, drain the float bowl on the carb (it will have a screw for doing such) then siphon all the gas out of tank, replace the fuel filter with a new one and add some fresh gas (not gas sitting in a can in the shop..NEW GAS). Give that a try, you might get lucky and drain out a big piece of dirt or have a clogged filter making it starve for fuel and run erratic.
IF it is an ONAN chances are the carb assembly is held on by bolts under the intake manifold...your will have to unbolt the intake manifold to get the carb off....if you are carefull you can reuse those intake manifold gaskets. If it is a Kohler, well you just have to figure out how to get it apart....USE a paint pen or something similar to mark the positions/adjustment of your linkages...a camera and ziploc bags are your friend when dissembling things your unfamiliar with. Your best bet is to remove the carb, remove the float bowl, float, float valve, remove the main jet and make sure it is open and clean (torch tip files or sewing needles), you will see small jets and passages in the float bowl-they must be open and clean, note where the passages blow out of in the carb throat...you can check them with compressed air and a gun with a rubber tip. Regular spray carb cleaner and some rubber gloves and goggles is ok....going to NAPA and getting a gallon of Berrymans CHEM DIP is better (BAD BAD STUFF USE PPE AND BE CAREFULL). Especially if you use the chem dip....remove all gaskets and rubber from the carb body and soak it in the chem dip for at least 24 hours, wash with soap and water or spray carb cleaner after it is done..Whatever the chem dip touches you should be prepared to throw away (except for the carb LOL). DO NOT LET THAT STUFF TOUCH YOUR SKIN, it will not burn you it is just bad and the smell takes weeks to wear off. Blow it out again, make sure all passages are clear and then reassemble. IF you did not do it first thing make sure you replaced the fuel filter and got fresh gas before you try to start it!!! I would bet a six pack of good German beer that will get you going if you do it right. I reckon if you do not want to tackle it a good LWS would charge you about five hours labor to do the same thing...a good small engine shop could do it easily.
I have to agree with Joe ...it is 98% chance you have a plugged up carb from old fuel and lack of use. BTW if your going to fix it you need to go ahead and replace the oil filter and oil with fresh. Oil sours from fuel/exhaust vapors with little use...if it just sits around.
Good luck Mr. Gravitt
Best regards
Tommy