Some answers to above questions from this 60's kid:
The original DL cheshire cat didn't have dialogue; they looped his insane laugh from the film's Tulgey Wood scene over and over.
The original Snow White ride at DL started in the Mine. There was no cottage scene, magic mirror scene, or Dwarfs on a cliff face. There were, however, black strings hanging in 2 locations to simulate cobwebs dragging across your face! How hygienic was that?!?
There was/is an issue of E Ticket devoted to the original Alice ride. It's awesome!