Very sorry indeed to hear everything your DD has been through, but an appeal with those scores will be difficult.
While extenuating circumstances will be taken into account, the main focus for any appeal has to be academic evidence - and the lower the 11+ scores, the more compelling that evidence would have to be.
Level 5 covers a wide range from 5c to 5a. The higher the prediction, the better.
Have you seen the list of academic evidence suggested here?http://www.elevenplusexams.co.uk/appeal ... cation#b11
Please let us know if we can be of any further help.