Joe
The dashboard looks like a 4/4 to me , let alone the remote gear lever . As Arwyn has said look at the engine bay and find out what engine is fitted . All 1960s +4s have a big Triumph TR engine, take some pictures and post them here if you cannot identify it and we will help.
I think it is much more likely you will find a Ford engine , not sure which one , I think a 1964 car will be a Series 5 with a 1500cc non-crossflow power unit (unless it has been changed ) as fitted to the Ford Cortina of that era.
