Hello and welcome to JustAnswer.
I'm very sorry to hear about your daughter's situation and hope I can help.
Unfortunately, it is very unlikely that your daughter would be eligible to receive unemployment benefits for two reasons.
1) She voluntarily quit instead of being terminated through no fault of her own. Although she followed advise to quit, unless it was in lieu of termination she would not be eligible for unemployment benefits, since she needs to have ben terminated through no fault of her own to be eligible for unemployment benefits.
2) She is not ready and available to accept full time work. In order to be eligible for unemployment benefits, an applicant needs to be ready and available to accept full time employment. Since your daughter is a full time student and must carry a full course load, she is not ready and available to accept full time employment and would not be eligible for unemployment benefits.
I sincerely XXXXX XXXXX had better news to give you, but I hope you appreciate a direct and honest answer to your question.
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Thanks and best of luck!