I am not a Trademark expert but i would take a guess that Disney wouldnt let you use this name, especially if you used it for a site relating to Snow White Cartoon/Movies or any other Snow White Disney products (i think its Disney who own Snow White)
If you are going to develop this name then i would think you need to stay away from the obvious route of "Snow white n 7 dwarfs)
Im not sure what else you could do with it though.
As i said already i am NOT a TM expert so maybe ask for some advice in other parts of the forum that have trademark threads.
I hope this helps a little, sorry if i broke bad news.
Mckennaronnie