\\\If the amount left is of moderate to small volume, then it may well absorb without further surgical procedure,\\\
That is what i posted 2 weeks ago and that is happily what has happened.
I have read your post again and decided i had not given it my full attention...I apologise.
Pneumothorax without shortness of breath is unusual although it occurred with your daughter and i would suggest that if she gets shortness of breath, then go back to the hospital bypassing your GP.
Also if the pain gets worse or persists, then do the same, go back to A&E.