Please explain "start" circuit to me

Hey, five hours to fix a problem by using you guys to sound off on is a blessing. Sure beats leaving the car at some shop for a few days and spending a couple of hundred dollars for them to fix it with a $8 part. At least Aaron and I learned something else about his car. Now, he knows how to quickly fix it the next time this happens.

With the ignition tester connected to the coil's primary wire and grounded to the body, we get a single spark when the ignition key passes the "run" position, then there is no spark as it gets to the "start" position as the engine cranks.
This is how I tried to explain what we were observing. What it meant, I did not know. You may have noticed that I sometimes get a little long-winded in my responses. Often, the detail may get lost in the rhetoric.

Regardless, I appreciate any help I get,
Jerry