Thank you all - really sorry I thought I had replied to this, app kept crashing, so took a couple of goes & didn't work 
Thankfully she was home by tea time, or there abouts, but the hospital was a bit of a farce to be honest, upset DD a lot & me too
Im thinking of complaining about the stuck up young doctor we saw as she had no respect for DD at all. She was far too busy showing off to & flirting with the handsome young student assigned to her & missed completely that we were sent there by our very experienced GP, insisted DDs lungs sounded clear, even though the triage nurse & student thought otherwise & refused DD a preventative inhaler, treat me like I was over anxious mum
telling me it must be hard to relax & not be anxious after nearly losing DD to pneumonia 
I only mentioned the pneumonia by way of pushing home the fact that both DD & I have a naturally low temperature & it doesn't always show as very high even with an infection, it didn't when she had pneumonia, which was in DDs notes sent by GP
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She also went on to tell DD that she doesn't have EDS, but joint Hypermobility ( they are the same thing) & that there's nothing wrong with her other than been a bit bendy - oh how I wish
add to that the veryvextensive poking, prodding & speaking to us both like we were 3 yr olds & completely totally missing point that DD is a naturally easily embarrassed 11yr old girl who doesn't like her top just ripped up to listen to her chest or prod her ribs - yet again - she poked her so hard that she hurt DD, who because the EDS feels pain more 
She then contradicted 3 much older & VERY experienced GPs, saying DD had nothing more than a mild virus & should be at school, quizzing her about bullying etc, telling me she was just anxious
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That was the point I told the silly girl that she was obviously still young & had a lot to learn & I would be trusting the expertise over 3 much more experienced GPs as she was proving herself to be lacking in a lot of basic knowledge
the student could barely contain his giggle
DD was very upset & angry leaving A&E, so I encouraged her to walk the half mile home, the air was very icy & I know from past that very cold air is good for opening up the chest & airways, I had my 4 wheel trolley with me, so she had that as support, she was still shaky, but now angry too, so that actually helped push her to make the walk.
I rang our GP on the way & was told to take her straight back to the surgery, GP checked her lungs again & was still concerned, but said there was quite a bit of improvement from earlier, she agreed trying the brown inhaler was a good idea & thankfully that DID make a difference :) as DD for the first time in over a week had managed more than an hour or so if very broken sleep.
DD insisted on going back to school yesterday :) & though still using her inhaler a lot, she coped as they allowed to keep it with her & let her go to a quiet area if it all got too much, I brought her home to rest for lunch too - all thanks to the brown inhaler - thanks for that advice :)
She still not out of the woods, but after some reasonable sleep, a big improvement, though she's just finished her antibiotics last night, so hopefully it's asthma causing the problem now & not the left over from the infection, so it won't flare up again, fingers crossed - poor mite is wiped out & her IBS now playing up due to inhaler, but she's a real trooper & coping with that & was missing school so very happy to go regardless :)
Thanks IShall that's very interesting & does make a lot of sense re stretchy lungs, though DD has the Hypermobility type diagnoses, so not officially stretchy skin, not where they test at least, but we realise now she does have it in other areas, but not massively so.
I'm on my way to having my M.E & Fibromyalgia & a list of other linked conditions diagnosis changed, unofficially diagnosed by the spine clinic, GP & my kidney specialist, who is concerned that its not hypermobile type, so I have been referred to Professor Grahames clinic at UCLH - my DM was also very much showing signs of it, but like me had other diagnosis including M.S. so everything was hung on that, she died recently & I spent weeks by her bedside pushing the doctors for more answers as I could see the problems she was having with pain meds & I.V. & more were possibly linked, they were great & organised blood test & she was diagnosed genetically -
though sadly despite getting answers & other diagnosed with other things that could be helped at last & getting better, we suddenly lost her to a hospital acquired pneumonia, so it all went a bit pear shaped & I didn't get the actual exact type diagnosis, but this answers a big family mystery of ill health & older onset disability going back a lot of generations :(
Unfortunately we now also know that DH fits the profile for Marfans type EDS & he does have very stretchy skin, though thankfully not symptomatic,
so poor DD is probably getting it from both sides & dies suffer with POTS & autonomic nervous system symptoms too & definitely getting worse as the hormones are kicking in :( - though can definitely relate to you last comment 
Thanks again everyone :)