A rotten childhood? (lol. sorry. I just couldn't resist)
I would like to know the answer to this too! Textures in linked prims don't seem to be playing nice with each other. I had a haphazard stair made of cylinders that I attempted to which I attempted to apply an imported texture (by the way about 40 textures that I imported 2 nights ago disappeared from my inventory) that didn't work so I applied another and another -- then all the textures that I had applied including blank started cycling through all the prims at different rates with some sticking and others not. finally I got blank to stick to all most of them without rotating at all , but then color did the same thing.