Baking error with multi-tiled UV map While searching for examples in baking I found this question Export &quot;Project from view&quot; texture as uv texture . On that page one responder provided a blend file. I downloaded it, tried to follow the steps and encountered a problem. 

The model is unwrapped in such a way that it spreads across 4 different tiles: (I understand why and I also do this in my own projects, so it's a lot easy to manage)
The problem is:  
When I bake the texture on the left to the layout on the right, the resulting texture is just a fraction of the tile (0,0).   

But when I cram those 4 tiles into just 1 tile it bakes correctly:    

Even when I tried to UVs -> Export UV Layout to use for pics in this question, Blender exported only the tile (0.0).   

How to make Blender respect multi-tiled UV maps and how to make this particular example work (without collapsing all into 1 tile)? 


Notes: 
renderer used is Cycles 
different UV tiles doesn't mean different UV maps 
I have no idea where exactly the original asker got that model from
Always layout UVs up and right from 0,0. Otherwise this will happen. Never go left and down.