Later:
Ooh.... it's my infamous
green room
.
No, believe me....there's no Jack-stuck there..... it's simply a puzzle !!
But I remember even Freddy, who beta-tested SPoG back then for me, first thought he had found a JS....before he found out how the room works.
Actually I admit that it's not easy....but once you know how it works it becomes very straight-forward and, ahem, easy. 8-)
If you want more detailed help, you should tell me where EXACTLY you got stuck and what you did do to get there, and before you got there.
One hint right from the start:
Each door can be opened from two sides ...and in this case there are more than one way to solve this room.

8-)
PS (a little later): I have only now read your later posts to Rose (where you explain it a bit more detailed (sorry)!
If your problem really is that you fell into the snake-pit...well, I'm sorry to report, that is a trap !! And it is designed as a trap....I thought that was obvious..... but for the over-curious who really feel they need to
explore
what is an obvious trap, I thought 3 snakes where enough to let them die and be reborn on safe ground and by that
not get stuck !! (You wouldn't have been so over-curious that you repeat falling into the snake pit even after you have died there 3 times, have you ???)

:o