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Yes, you will want your daughter to be represented by an attorney. Do not take a criminal prosecution lightly (even if you believe the facts to favor you), and do not speak to law enforcement without your attorney present (any more than you already have).
If you can afford an attorney for this matter out of pocket (this is a relatively simple matter, and should not be terribly expensive), I would recommend it (you will get much more individualized service than the Public Defender can provide), if you cannot afford an attorney, ask the court to appoint a public defender to represent your daughter.
You can find local criminal defense attorneys using the State and local Bar Association directories, or private directories such as www.AVVO.com; www.FindLaw.com; or www.Martindale.com (I personally find www.AVVO.com to be the most user friendly).