Jim,
Let me tell you what you should have: You should have a wire running from the s term. on the solenoid to the key sw S term. which activates the solenoid. You should have a wire running from the solenoid Ig. term to coil which will read full V. You should have a wire running from your key sw. Ig term. to coil. This would be a resistance wire and not read full voltage maybe 2 volts lower. This wire shuts off when the key returns to run from start.
The easiest way to trace a wire is with a ohm meter.
I love the study of Colossians and Galatians. The key to whom we are "In Christ."
Tha'ts what you need to have. How it achieves this, well that is a mystery.