Most Helpful Girl
Ask yourself if you can seriously see yourself staying with chick till your last dying day (assuming she doesn't just up and leave you for another guy before then) and be genuinely happy always having to wonder if what she tells you is just another lie?
People can often feel in 'love' with someone when in fact, it's more like an infatuation or being in love with the idealized image of who they are or maybe who they once were. From a practical perspective, this girl has zero respect for you and doesn't sound like someone who is ready for a happy+healthy relationship.
Most Helpful Guy
You have no self-respect, and are clearly desperate. Getting a girl's name tattooed on you is like a girl who purposely gets pregnant to try to trap a man - desperate and stupid and unlikely to work out well.
Girls don't respect guys who don't respect themselves, and she clearly does not respect you. That isn't going to change, so it's time to move on.
You should stay single for a while until you can find your self-respect, or you'll end up with someone just like her again.
Learn to be someone worthy of respect, and you won't need to make dumb gestures to get a girl to stay.