not N & AH
but J & AH for J & A Hillman
It's a Patt44 and not too common either
I don't think that's a P44 pouch, but a late-model P37. On P44's the distance between the top of the flap and the eyelet for the closure is much bigger. Late-war P37 MK. III pouches did the have the 'quick release'-type closure and I think this is one fo them. I have at least 1 example too, somewhere...
It is indeed not a 44 pattern pouch, it is a 37 pattern pouch with a quick release fastener instead of the more common popper. Absolutely not 44 pattern.
Fairly uncommon but not particularly rare or even valuable (worth as much as a normal wartime example), i too have a 1944 dated example by MECO. While 1944 dated examples do exist, i have yet to see one in a wartime photograph.
They are easily found here and cheaper than a standard P37 pouch.... Typically around €5 for wartime dated ones and still not much interest. I heard they weren't issued to British troops before VE Day though, which might explain why?