From someone, who used to lived abroad for more than a decade, and still having a Scots girlfriend, I can tell you that DON'T read it too much! I'm pretty sure that she only see you as a friend, nothing more. And if you two got the chance to know each other better, then, there might something special. However, NOT NOW! So, get real!!!
She invited you to visit her country and offered you a room in her house, it's really normal! I went to Germany, Italy, France and Sweden for too many times. And everytime my girl friends in each country offered me a place to stay. So, again, go to visit her as a friend, and don't expect anything!