I met a girl during a gathering of mutual friends and we talked for a few minutes, mostly small talk. She mentioned that she is moving to my university town and that she knows nobody. She is moving to do a nursing practicum and said that she had to meet people and make friends. We had met before but I don't think she remembers me. Before she left she did give me last look, but I didn't get her number (i'm single and I think she is as well). Should I send her a facebook message saying that I could show her around the city and intro her to my friends? Is it weird to do that?