First, I’m not sure who is doing the lying or why. Star charts are made by kazillions of people, from many countries independently. What would any deception get us? But, at any rate, try this. Set up a small post in the ground. One day, measure the length of the shadow from the stake, when it’s the shortest, that will be noon according to the sun, not the clock. It varies by a few minutes because of earth’s elliptical orbit. We just make the clock 24 even hours per day for convenience. From the tip of the shadow to the stake is true south. Mark that direction. The next day set up a piece of tube and fix it at sun noon again so the sunlight shines through to the ground. Now, you know where the sun was at sun noon. Wait exactly 12 hours and look through the tube and note the star field and any star you see. Find that on any star chart, try several, the sun was exactly 180 degrees within a few seconds of arc as the sun constantly moves. You can even determine its declination, how far south it was from the chart. This is kinda how they do it. But, with millions of observations over years, they’ve gotten pretty exact with their positions. Just don’t look at the sun, it’s not a good thing.