This lathe is mounted on the long cast iron legs that I think were standard at the time. It allows some wobble when cranking the carriage by hand so it's possible they are part of the problem. I don't have a machinist's level but should be able to get close with a good standard level if I can get one that's well calibrated. I've had the back legs shimmed up enough that one of the two don't contact the floor but it didn't seem to make any difference.
It will be a couple of days before I can get back to it now but I'll keep everyone posted as to what I find.