Here are the ones that are considered "real" hemstitchers
the Singer group - the unit is the same, but the needle plate is specific to the model.
101, 201 or 15, 66 or 99, 127 or 128 (I assume it will fit 27/28 also) and 221.
This is for White - I have two different plates, the shorter one fits the older models, the longer fits newer ones (pre Japan made machines, that is).
And this one fits National made Rotary machines (including the 2 spool).
Here are the three units side by side - they all have the same patent dates, though the Singer also has a model number on it.
The main difference is how they attach to the machine.
And of course, the Queen of my Hemstitchers. She's still waiting for her throne (table) to arrive from CA.