My understanding has always been that a motor uses an outside source of energy, be it electricity, steam, air, wind or others.
Engines create power from an energy source and convert it to mechanical power. So, in essence, you could have a coal fired turbine engine creating electrical power to run an electric motor 1,000 miles away. Noting connects the two except the transmission lines. In motors the energy source is not connected to the motor but is created elsewhere. Modern trains use diesel engines to power up generators that run electric motors.

If we REALLY want to get into a hornets nest just try telling someone their 57 Chev isn't a Classic car. It's not, it's a Milestone car, but the term Classic ( take your pick ) has become so over used that anything older than a toddler is classic these days.
The real, '' Full Classics '' from the 1930's are all but forgotten in the mix.