That one is completely new to me, mudrock. I've never seen a Greenfield remotely like that before. The old HD8 model had a horizontal crankshaft like that, but did not have the upside-down drive clutch setup that yours has. Here is a thread on the HD8 which you might find interesting:
https://www.outdoorking-forum.com.au/forum/ubbthreads.php?ubb=showflat&Number=39950&page=1It is conceivable that your machine is an even earlier model than the HD8 - the architecture rather looks as if it were made with only the simplest fixtures rather than with normal production tooling. It will be very interesting to find out what it is.
Some of our members repair Greenfields or work with them a lot, and may be able to identify it, which would be a very useful forward step. If they have never seen anything similar either, it will be necessary to contact Greenfield's service department and see what they can make of it. I think you will have to make any such contact yourself - I doubt they will be responsive to questions from anyone but the owner, or one of their dealers.
The first question that should be answered is whether the clutch pedal worked that way when it was new, or somebody has "improved" it along the way. Essentially, the clutch works backwards because the belt is running around the drive pulleys backwards, compared with what is now regarded as the conventional setup. I doubt it would be difficult to make the clutch pedal work the opposite way, but if this is as collectible a mower as I suspect, any modification would be highly undesirable.
The machine looks rather clean and professionally made - I don't see signs of modifications or amateur repairs, or even of much use of the machine. It would be a great pity to modify it if it is a rare model in good condition. At this point I can't guess whether it is a very well-built prototype of some kind that an amateur comedian has put a Greenfield decal on for a joke, or it is actually the ancestor of the earliest Greenfield I've ever seen or heard of. A very interesting piece of equipment, either way.
My suggestion is that we wait a bit to see if we get some information from Outdoorking members. If we don't, I think you should send pictures to Greenfield's service department and ask for their help.