I'm going to get my mother charged with credit card fraud
What did she do to commit fraud?
She purchased clothes online with my credit card without my permission.
Even if it is your mother, using a credit card without the owner's permission is illegal. I would recommend that you talk to her first if she can pay the purchases she made, but if not I would definitely contact the authorities and charge her with credit card fraud.
Why would I do that? If she used my card without my permission I'm going get her in trouble for credit card fraud anyway can.
I think that you should just report your mother instead of making things worse on yourself. It is expected that you will report criminal activity.