Gary / Bill,
I've sent the photos Gary...
I've also been looking at the various photos I've taken for reference of other people's bikes over the last year or so..
One (taken on an older camera unfortunately so not too sharp) of a friend's very original 1957 Ariel hub A10 shows a similar bracket to mine but welded on the other side of the frame tube !
A better pic shows an unknown bike, post '57 , at a major run which has a different kind of mount, more of a box section, also mounted on the forward side of tube. This also explains why a rear brake cable I was sold for mine is about an inch too long (it would have fitted this type!) and why my friend with the Ariel hub bike had been supplied with one that was too short..
As far as I can see that's now (at least) 3 ways this bracket was fitted by the factory...
Getting the right brake cable seems to be a case of taking the old one along & matching it up as part numbers don't seem to help here...
Cheers,
Adrian