This will be a very difficult case to win.
Her second illegal entry appears to have imposed a lifetime bar against her being able to stay legally.
But, she should meet with an attorney ... there might be more to this case than you have told us.
PROFESSOR OF IMMIGRATION LAW for over 10 years -- This blog posting is offered for informational purposes only. It does not constitute an attorney-client relationship. Also, keep in mind that this is an INTERNET BLOG. You should not rely on anything you read here to make decisions which impact on your life. Meet with an attorney, via Skype, or in person, to obtain competent personal and professional guidance.