An update:
I believe the issue is in the wiring somewhere. On occasion, I can get the engine to run - sometimes continuously, and other times for 10-15 seconds. Other times, most often, it won't run at all.
I removed the spark plug wire from the spark plug. When turning over the engine by hand and holding the wire a short distance from the spark plug, most often, I do NOT see a spark at TDC. Sometimes I'll see a very faint spark, followed by a "faint-er" spark about a third of a revolution later. On rare occasions, I'll see a good spark.
Not sure what is causing this variation. It does seem to change as I move things around, but that may just be a coincidence.
I've contacted the seller. Hopefully, they'll be able to send me a replacement ignition system.
In spite of the difficulties, I still think this is a neat little engine, and looking forward to having it up and running again.
Appreciate all of the feedback!!
Dave