I'm thinking of charging the customer for a purchase she didn't make.
Oh no! Isn't that just like stealing from the customer?
I'm 100% sure she will be confused and think it is the truth, this will be easy money.
Charging someone for a purchase they didn't make is wrong. It's like you're stealing money directly from them. They'll be angry once they realize that they really did not make the purchase.
But they deserve it. They are the ones who get me in trouble, lying to the company and costing me my job. Fuck them.
I understand that they made you upset by their actions, but you are already in trouble with your job and this will make things worse. Just let it go or make a complain to your job about the customer making trouble for you so they can resolve the problem.