Was there any axle grease or brake fluid leaking on the other side? Something that would act as a lubricant and let that side slide, while the one you’re looking at was locking up?
Go back to basics. With the drums off, use a pair of channel locks or something like that to pull on the emergency brake cable. Is it moving back-and-forth? It should. Press down on the emergency brake and see what it looks like, side vs side.
Look at the teeth on the star wheels. are they rounded off? First and foremost, are those star wheel gizmo’s installed in the correct direction. You can put them in backwards, and that’s a problem.
Look at the teeth on the star wheel, is the wear and tear on the left side, the same as the right side?
Look at the adjustment arm that engages that star wheel. Is one side worn down and the other side sharp??
These guys will jump on me, I’m the one who rigs everything, but the cross-section of that lever should be rectangular at 90°. If one is worn, and the other one is sharp, they won’t adjust the same. Here’s where the other guys will jump. If you take a file, or go very easily with a grinding wheel, you can restore the rectangular profile, 90° corners. You want both of those star wheels and adjustment levers to work the same way.
If none of that works, you could put fertilizer and diesel fuel mixed in the rear end, and smack it with a hammer. The axles will blow off into the next county, and it may kill you, but then you won’t be worried about why the brakes don’t work right anymore
No, scratch that last thing.
If all of that stuff looks OK, a brake spring set is pretty cheap. Replace the springs and the shoes, and the drums, and cross your fingers…
If it was easy, they would let women and children do it