A camcorder! For your 13-year-old dd? Ah, all of these fun cities with their hipster residents (yes, preaching to choir / pot calling kettle black). I'm going with - She does not need a camcorder. When is she planning to use it? How is she planning to carry it around? If anything, an iPod other than her phone (if she has an iPhone) would be an extra device that she could use for video storage. But I seriously doubt that she will make good use of a camcorder.
ETA: I just googled "camcorder" and saw one model under $50 but it gets not-great reviews. Other than that, it's $100 and up (and up and up) for an actually good camcorder. Combine that with "normal teenager stuff" (gets broken in her backpack, gets stolen at a party, etc etc) and it just seems like there might be a better way to give her the general idea of what she wants when she says she wants a camcorder.