Great find!
I believe CROSLEY was the first company to put chilled water in the door.
I have my Grandmother's 1954 CROSLEY still running in my basement. No water in the door but it just keeps on going. I'll never part with it.
It too looked a little grungy after living in the garage for a few years, but a good scrubbin' made it look really nice once again.
Installing a replacement three-prong grounded cord is a good idea. I'm glad I did as the thermostat eventually grounded to the cabinet. It tripped the breaker (as designed). After putting a new thermostat in we were good to go once again!