The topic of love and trust is somewhat neglected
That only happens if one side does not respect the other. I really don’t understand how someone can live with another person for free for years, then want to own the place but pay a price at some point. Would she also pay more if the house had been worth more earlier? Probably not. I could somehow understand if she at least paid half of the correct rent, but so neither one nor the other... just the more convenient option. I don’t want to accuse your girlfriend of anything, but I have heard this problem more often and believe that those who have handled it clearly and factually have, in my opinion, the best relationships with each other. If it really has to do with love, why does she keep her higher salary just for herself and not share it? I believe this carries explosive risks and would absolutely advise against something like that. Before that, I would say goodbye to the house and make a completely fresh start, which can be nice as well. But I wouldn’t want that feeling.
If it’s already like this "from the beginning" you should go separate ways.
I don’t agree at all, quite the opposite. Just clearly regulate it in a matter-of-fact way, many people live like this and it works perfectly for them. I am a proponent of equality, so I don’t understand such things. I definitely don’t want to be taken advantage of, that would be unpleasant for me; therefore, I also lack understanding for free rent... sorry. I have had something like that in my life but always paid my half, quite simply. I understand your worries; they probably won’t just go away again. I see no reason for you to get involved in something that makes you feel uncomfortable; neither of you should. Therefore, I would mentally take the house out of the equation and sell/rent it. You could also continue living there, but then with proper rent; your girlfriend earns just as much or more than you. The many other things in life with kids, unemployment, and a thousand scenarios always have to be "renegotiated" in the relationship anyway, since they can’t be planned for in advance. A 60:40 ownership solution that roughly fits the current value could also be conceivable.