Brake Switch Wiring

could not understand the schematic as the factory service manual doesn't make mention of where the white or red connector's on the factory harness go.

Sure it does but I'll admit those newer diagrams are a pain. If you look further on past the schematics, there are diagrams showing the layout and location of the connectors. Look at your diagram showing the switch hookup. It shows the white wire going to "CI-19" at the hazard / turn (column) switch. That is "connector, interior 19"