Bummer it was a pre-restore. It may have been another company import going back farther.
The YM2000B isn't a common model either. By chance, on the engine plaque, what engine is in the tractor?
The YM2000, YM2000A, YM2000D all have the 2TR20-A engine. Does the B have the same thing? I know that the ending letter of D = 4x4. The YM2000 series is a bit on mystery altogether with the variations. It has the most variations overall.
The 2TR20-A engine may be the entry series 2-cly for the YMXX00 desgination such as YM1300 2TR13, YM1500 2TR15, YM1600 2TR16, YM1700 2TR17, YM1800 2TR18, YM1900 2TR19, YM2700 2TR27. I don't have enough info for any other 2-cly TR engines. Nor do I know if parts are interchangeable in the TR engine line.
Yanmar also did strange stuff with the last two number like 10 and 20. Not sure what those number mean either.