Like yours Jim the Birmingham Berlina has its fuel pump in the boot in the well opposite the spare wheel and it is a horizontally mounted one.
I had thought of adapting the Contessa to that setup until I saw how different the systems are. The Contessa is an 813-00 from June 1961 and has two fuel pick-ups at different heights then two copper fuel lines running straight forwards to a tap in the front footwell where you select main or reserve. The Birmingham Berlina is an 813-11 from November 1962 and has a single fuel pipe the immediately curls round into the boot to the fuel pump before then going forwards to the engine bay.
I do have a spare single fuel line set salvaged from the English Patient, but not the single outlet fuel tank, so a conversion may be on the cards for the future. At the moment reliable access to reverse gear seems more of a priority.
Pictures are the English Patient, Birmingham Berlina and the Contessa. My first Berlin, EJJ, can also be seen under a blue tarp next to the Birmingham Berlina.