Hospital working to support naughty kids — one in particular (4,7)

'one in particular' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.

'hospital working to support naughty kids' is the wordplay.
I cannot really understand how this works, but
'hospital' could be 'barts' (short for St Bartholomew's Hospital) and 'barts' is present in the answer.
'working' could be 'on' (e.g. a machine is working or on) and 'on' is found within the answer.
'kids' could be 'imps' (imp is a kind of kid) and 'imps' is present in the answer.
This accounts for all the letters.
This explanation may well be incorrect...

Can you help me to learn more?