Thanks everyone for your help - truly appreciated. To answer everyone in turn:
YorkshireDave - thanks - have scoured web for Cubico / Hudson Reed spares but still can't find a match. ShowerDoctor came back to me on Sunday, definitely identifying it as a Victoria Plumb part, but "imported from China", and they can't supply it.
Moonlight - cold water supply is via a pump - I had indeed closed off supply on the pipes into / out of the pump prior to dismantling the unit, but the valves on the supply pipes are definitely open again (cold water flows to another shower powered off the same pulp) and I have not touched anything on the casing / valves on the shower being worked on. Don't think I'm overlooking anything - ?
Chalked - yes thanks - I had come across this Crosswater part and I agree, it's definitely the closest thing I have come across that compares to my part. The only difference seems to be in the shaft at the top - which is longer on my part than on the Crosswater.
HOWEVER - am I right in thinking that, if the main barrel (with the mesh filters) matches my part exactly, it should work, even if the handle does not fit properly on the front? If so I could well go for this one.