Nice girl, disappeared - what should i do?

Hello fellow students, A week ago, this very nice girl sat next to me at the library. We exchanged a few smiles, I initiated some small talk. It got late, started raining, i offered to drive her home and she accepted. We had a nice short drive, she thanked me and said "I ll see you at the library", before I had the chance to ask her number. The next day, she came with a girl-friend of hers, and sat next to me (looking very pretty). We shared some sweets that i offered, and kept studying. She bought a chocolate and placed it between herself and me and we shared. We studied hard all day, and just kept exchanging some smiles and small conversations (she 's quick and smart too!). We were the last three to leave the library. I offered them a ride, but they said they 'd walk together. Being quite a coward, I just said "so, now how will I-" and she immediately said "oh, don't worry, we 'll be here!" so i Ieft it at that, and we said goodnight. And then… she disappeared, completely. I ve been studying hard during the whole week, also hoping that she would show up, but she hasn't, and now the holidays are starting. I really liked her, and now i have no way of communication. She doesn't have any online presence (really, nothing…). I only know where she lives, since I drove her there - also most of her official information is online, but no contact information or social media at all. I may have a (difficult) way to find her friend but I'm hesitant about it, and sending a letter to her home sounds horribly creepy to me. I would normally just let it go, but feel like i should, for once, go after something good when i see it… What should I do??

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