The customer needs to pay you for all the work you did, pursuant to the agreement between you. If she doesn't pay what you've billed her voluntarily, you could sue her to collect the money. You would need to show the terms of the agreement and the work you did (e.g. the hours); she could try to defend herself by disputing the hours, or by trying to show that the work you completed was deficient, so she had to pay to have some of it redone (in addition to having to pay to finish the uncompleted work)--in that casee, she might be entitled to an offset against your bill for her cost; she could also try to dispute the hourly rate you and she agreed to.You need to decide if, given that you would have to sue, it is worthwhile to pursue the amount of money at stake.