Roger, I have a bit of experience with property in Hungary. It sounds like you bought a property through a company you set up, not in your own name. Is this the case? If it is, then it sounds legit.
If your solictor in Budapest is trustworthy, and most but not all are, his advice is almost certainly sound. That's the best I can say. Try paying for the advice of an alternative reputable lawyer if you are worried about anything.