That plain and simply means you spent more time in the center than the ends. Were you using the platen or unbacked area of the belt when grinding? I'm not a big expert, but I still did a ton of grinding after quenching, left my knife way too thick. I ended up just grinding with bare hands(in order to detect heat) and once the piece got absolutely too hot to hold, I would dunk it in ice water to cool it. I took the reasoning that tempering is usually done at over 400 degrees, and I think that the metal was getting to about 130 degrees if it's too hot to hold, therefore the 130 degrees for an hour of grinding wouldn't hardly do anything to the hardness of the steel. In fact, I only tempered for about an hour after quenching, so I welcomed any softness in steel gained. So I would recommend just using the belt sander with bare hands. Steel never turned color for me as long as I kept moving a bit.
Why would you use needle files and not just regular sized files?