@
noglider So "raliegh superbe axle thread" was totally the wrong search term. Doooohhh.
"
Unique thread size, nothing else fits. " Well that pretty much answers that question. Clearly I should start taking Sheldon as biblical truth. I was really hoping to get some grade 8 nuts to ensure the nuts remained when the rest of the bike was in ruins but so it goes. 
Thanks for the pointers and links.
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Velocivixen I like your version better, thanks.
Originally Posted by
noglider
@
erileykc, you don't buy them that way. You tell your bike shop you want axle nuts for a Sturmey Archer 3-speed hub. Either they have them or they don't.
Here is the left nut, and
here is the right nut. You can use either two left nuts and reuse that extra "tube" or you can replace the nut and tube with a right nut. You don't have to buy them from Harris. I just used their links as examples. Many vendors have them.