You cannot file for unemployment aid if you resign or are terminated for cause. You can only get assistance if your termination is the result of your position being eliminated, otherwise known as a reduction in force. This is valid in California and I believe true in every other state in the US.
> Frequently after notice of a quit, layoff, or discharge has been given, either the claimant or the employer will act to accelerate the separation. Such action can alter the character of the separation.
https://www.edd.ca.gov/uibdg/Voluntary_Quit_VQ_135.htm
I don't really think unemployment is relevant in this case. I am interested in whether she technically quit or resigned though.