Just my view, as its your daughter you do not say her age. But just saying she is young still at school, I would go for normal Desktop not touch screen. you are more likely to have problems. and a mini tower or one of those that run on a Atom CPU may be enough. You can get Board for these in Maplins that create small form factor pc. or something like this, But it does need a external DVD drive about £32.
PS would be no good for gaming link text