As you now have concluded, the Winchester A5 telescope was used in two different mounting systems. One was the original "Grasshopper Style" mount. This mount used plain dovetailed scopes with cuts to allow the thumb screws to lock. Neidner invented a new mounting system which were tapered. The bases were also enlarged, and the rear scope ring on the scope was replaced.
The result therefore is that neither the scope nor the bases of the two are interchangeable. If you have a rifle with Mann-Neidner bases you cannot replace the bases with ones for the "Winchester Grasshopper Mount", nor can you put a "Wichester Grasshopper Mount" scope on these bases. The very same goes to the opposite.
I'd kindly repeat my request for getting pictures of your rifle. Is there any chance you can upload them to this forum?