That's probably a sign of illness or severe infection. Isolate her from any other birds, keep her warm, and try putting some apple cider vinegar in her water. Hopefully someone who's seen this behavior before in their own quail can weigh in with more specific help.
Mareks disease can cause "drunkeness" in poultry, a contagious viral infection. Botulism from bad feed can also cause stumbling, paralysis, etc...although death comes quicker with botulism than with Mareks. Poisonous plants, or even antifreeze can cause this symptom. Neurological issues from birth or even encephalitis's like West Nile, WEE or EEE can cause drunkeness.