Or is it Toey as Google says;

Anyway Is there a way to go to this beach (particurarly าดเตยงาม beach but I do not know the name in English) from some train station, just using a baht bus or other, and vice versa if possible? Thanks in advance.

Haad Toey Ngam is what that says (although you missed a character at the front of the word) which is Toey Ngam Beach, as you say (either spelling probably ok really)

Googling the English comes up with:

http://thailand-beach.blogspot.ae/2008/06/toey-ngam-beach-haad-navikayothin.html

In terms of local bus I'd be amazed if you couldn't get the bus to Sattahip and then get a songthaew there