I've not seen that one either. Around 1961 (and probably 1962) there are enough variations of Schwinn and Schwinn Approved front hubs it can drive you a bit nuts. I am no expert on this subject, far from it, but there are old threads here you can do the deep dive in if you want. I believe at least 3 different axle threads are possible in 1961, just in low flange 5/16"-ish axle front hubs. Never mind cones.
In the past people here have been advised to replace the whole hub just to get an axle and cones. Some of these are German. For a Schwinn American, which I believe they brought back in 62, they would have had to source an American hub and they had been using a bunch of European ones. The good news is since it was made in USA, it is probably sort of standard somehow even in it isn't any Schwinn standard. I wouldn't rule out Wald. I am like a dog with a bone when it comes to stuff like this and probably wouldn't stop until I had identified and replaced the parts. I can't argue that makes any sense, but there it is. Replacing the hub is probably the easiest way.
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