I'm very sorry to hear of the extenuating circumstances, houseful.
If I were you, I would want to appeal, but I'm afraid there's no disguising the fact that most appeals will not succeed (and no one can say in advance what the outcome of yours is likely to be). The process can also be very stressful.
Apart from the extenuating circumstances (where it's best to be as factual as possible, and let the written evidence speak for itself), you would really need to have:
academic evidence.http://www.elevenplusexams.co.uk/appeal ... cation#b11
2. Good reasons for wanting a place at the particular school.http://www.elevenplusexams.co.uk/appeal ... -school#c2
Hope this helps.