Surely she was earning more than the VAT increase when she was in work?
Her fees rose by 3.2k - so they were initially paying 16k a year, rising to 19.2k (if my maths is correct and the full 20 percent was passed on to parents). They were unable to afford the extra 3.2k.
But in order to facilitate NOT attending and paying the 19.2k, the mother has stopped working. Isn't it likely that she was earning more than 19k, or had the capacity to do so? So aren't they disrupting their daughter's education and taking on a long commute AND leaving themselves worse off overall?