We have a few fillers necks as used on the original CS tanks, somewhere.... we wanted a couple and ended up buying a minimum order of 10, so give me a shout if you want one.
The construction of the Lister tanks changed over the years to suit production methods, and early ones were soildered, but crystalline deterioration led to seams opening up.
I'd use brass sheet personally, or get the seams mig or tig welded and cleaned up.
We have a couple of big Weller thermostatically controlled irons at the factory, very useful for small stuff, and if you use a decent flux and get the joints tinned, you should have no trouble. A lot of the old fluxes are banned now on environmental grounds, and even solder is starting to get hard to buy in retail places.
Resin/Rosin flux is OK for Brass but you need something better for steel, so try and find some 'Bakers Fluid' or 'Killed Spirits', keep any flames away from the surface of the metal as it will oxidise the metal and make it harder to tin. A big 1" square chunk of copper filed to a point would be fine, keep it hot in a non-oxidsing flame from a gas torch. If the flame turns green you are starting to overheat the copper! :-))
Peter