Hi Motomike,
I'm pretty sure that the tank badges you have shown are from a BSA Bantam.
It's common practise to fit the regular bright red badges to your model. Unfortunately, the original ones for 1958 and 1959 are not being reproduced and very hard to find.
I'll try to photograph an original one a bit later to show you what they are like.
Beezageezauk.