Peter
We have just published an updated Understanding ESA guide and should be releasing new ESA claim guides this week, so the best thing is for you and your daughter to have a look at these when available.
One point I would make based on your post, the walking test refers to "significant discomfort or exhaustion". There is no clear definition of what discomfort or exhaustion mean, but in the case of the former, it is definitely less than pain.
So if you can walk 50 metres, but are in pain whilst doing so, then you should fail the test, which is good. However, to score the 15 points, you would need to show that you could not propel a wheelchair over the 50 metres either.
Hope this starts to explain it.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems 
