Your question is in the Cars category - but no matter.
Mould comes from damp - all houses can get damp if there's not enough ventilation. A winter problem if we keep the heating up and the windows closed.
You can do some things yourself...
http://www.scotland.gov.uk/Publications/2005/05/10103020/30217
http://www.diydata.com/problem/condensation/condensation.php
http://healthandenergy.com/mold_prevention.htm
The council may be sympathetic to your situation but they will expect you to try to eleiminate the problem yourself - they may argue that the mould may well be caused by the way you run the house (i.e. you breathe in and out with the windows closed) and that the mould problem may well follow you to any new place - and they would probably be right.
It will do no harm to contact them - Housing Department or Environmental Health and they may offer practical help and advice - you never know - you may even get a new place - but be gentle with them - a note from your partner's doctor (may cost you) might help support your case.
You must, however, be able to show some evidence of having tried to solve the problem yourself.
Good luck...
Peccavi
February 2010