The fuel injection pump has an oil supply when the level is high enough it returns down a pipe which is attached below the oil filler neck. I have a feeling the injection pump has been starved of oil for a while as the small amount that dripped out the pump looked very black when I loosened its banjo.
Are you sure this is a Lister HA3 engine, because the HA3 engine has 3 individual flange mounted fuel pumps that reside inside the engine, and the HA3 engine definately has no pressurised engine oil supply to the fuel injection pumps.
Without a picture I can only speculate what Lister engine you have. In which case you may have:
1), A Lister HL3 engine, but apart from some very specific applications they were always fitted with CAV rotary DPA pumps (which rely upon the fuel oil for lubrication), and not an inline fuel injection pump (which on Lister applications have oil lubrication system as you describe).
2), A lister HA4, HB4, or a very early HR4, as these all had CAV inline fuel injection pumps.