I'm sorry to hear about your quail. I don't know much about them at all, but it looks like you would treat her like you would a chicken. @TwoCrows has an article about Quail, there is a sections that discusses egg binding, you may find this helpful. https://www.backyardchickens.com/ar...-issues-and-keeping-your-quail-healthy.67379/
I hope your girl gets better soon.