First up, I've mentioned the horn blaring when the key is on. That kinda killed any ideas of cranking her for extended periods. I've disconnected, but as I was doing think I've found the leak to earth. Have noted, and will try a dry run at some stage.
When cranking her over, she's got a fat spark on both jugs, but dry plugs. The fuel lines are old, and starting to crumble on the lowers. From the T junctions up, they're newer, or at least have weathered better.
Have removed the LHS carb to clean up. Have found a couple of interesting things. Firstly, the screws on top of the carb.

Two of them had cammed out pretty badly at some stage - maybe before she was laid up? Anyhow, I reformed filled he bottom part of the threads with some WD40, and left it for a few hours. I then tapped the best fitting screwdriver in place with a light hammer, and the good ones let go. I screwed them back in to just tight, and had a go with some heat from my wife's brulee torch, and then reformed the slots with a large punch, used lightly. This kinda closed the slots up. I then hammered the right driver in, and success! Past experience has taught me to replace. Should I go hex head?

The diaphragm...hmmm....Looks okay, but appears to be a bit large for the carb. There also appears to be no locating tab on it. Replace? Thoughts?

Next to have a crack at was the starting circuit. Is the Haynes manual wrong...or has the PO somehow reversed the assembly?

Apart from that, it was uneventful. The pilot jet was blocked...the main was a little varnish-y. And I didn't manage to squirt myself in the eye with carb cleaner!