71Mavrk, thank you for posting that link and operation description. I am working on a friends car right now that has some parking lamp issues and I thought I was on the right trail, but this is much easier to follow. This car has worn me out lol. It has burned up two turn signal switches ($$$). The previous owner installed two 3rd brake lamps in the back window. One of the two lamps had an intermittent short that turned out to be caused by the insulation on the wire getting hot/soft and grounding out on the bulb heat shield. This only happened if you held your foot on the brake long enough to cause enough heat to cause the short to ground. I'm glad to have that issue solved, and now I can move onto the next one.
They aren't that hard to work with as long as you understand the path the electricity follows. I would start with checking continuity through the turn signal switch with it in the "off" position and left an right turn. You will need a wiring diagram if you aren't adept at figuring out the colors of the wires. If you get power in and out through the switch the problem is elsewhere. One other consideration after rereading your original post. My dad is a carpenter which means he works with nothing car related. When I was a kid he had to replace the T/S switch in his truck and it was a cuss fest. My grandfather the family mechanic told him to take apart the connector to make it easier to feed the wires through the column. It took weeks for dad to figure out he crossed a few wires when putting it back together. Could be a carpenter worked on the column in the past......
it sounds like the turn signal lights in the dash are burned out. the flashers need all 3 bulbs in its circuit to be good to work.