I saw a piece on the news not long ago that the OLD company that has been making those mowers is still doing so the same old way, and business has NEVER been better.... There's quite a bit of hand work in making one, and they are running at max with many of the same old employees....
They use to make a little plastic block that has a stone in it, and you just run back and forth on the blades.... It was set to hold the stone "just right", and i have no idea where to buy one today...
I bet you can find the maker on line, and perhaps the info will be on there website?
DM