Your daughter should immediately appeal the denial of unemployment benefits because she only has a very limited period of time in which to appeal. Generally, if you quit a job, you are not eligible for unemployment benefits unless you had good reason to quit caused by the employer. However, if you are fired, you are eligible for unemployment benefits unless you were fired for employment misconduct.
It sounds like the employer is saying that your daughter was fired for employment misconduct, and that is probably she was denied. However, based on your description, it doesn't sound like misconduct to me. There are any number of ways to argue that your daughter's behavior was not employment misconduct.
I recommend that you consult with an attorney about your situation. As I mentioned, you only have a very limited amount of time in which to appeal, and your case is over unless you timely appeal the denial of benefits.
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