I don't know... but (googling) I can find parts that match those descriptors, so it seems plausible.
1991 Used Toyota Corolla Starter Motor Genuine OEM LOW MILEAGE Guaranteed Part.
EDIT: maybe this is better evidence such a thing exist(ed):
http://www.theautochannel.com/autopa...8-corolla.html A used 88 Corolla FWD transmission that goes with 4AFE.
So... riddle solved?