Which witch does dorothy see inside the cyclone.?

In the wizard of oz when miss gulch transforms according to Imdb the is a school of thought that the witch in the tornado is the witch of the east and the song says the wind began to pitch etc. the witch was thumbing for a hitch and that led to demise and also its implied because imainlandnd the witch of the west does not recognize dorothy therefore its implied that the witch of the east was the one insde the cyclone and when glinda tells dorothy just who this perosnality is the infamous witch theme comes on so which witch is which.