I think this is about a girl who wants to lose control. Break free from her average boring life.
"You dont remember my name
I dont really care"
this kind of indicates that she had a lover in past who cheated on her. And now that she wants to cheat on her current lover, she wants go back to him.

"Marry had a lamb
His eyes like black coals
If we play very quite my lamb
Marry never has to know"
This indicates that she wants to cheat and asks the person she is cheating with to cheat with her, "mary never has to know" means that her current lover doesn't need to know.

Otherwise the song can also be about her last lover who cheated on her and now she wants revenge.