I presume she appealed for 3 different schools. Say, your son had done Handsworth Boys, Bishop Vesey's and King Edward. I believe you could have appealed 3 times.
Five years ago, I appealed to 3 different comprehensives in Birmingham to try to secure an alternative to our local school.
Third Time Lucky, actually means that I had 3 Appeals at 3 different schools, of which the first two failed but my third and final appeal (held on 26th June) was upheld!!. All three schools were on my CAF form.
I am so sorry that your didnt work out for you, I am not sure how I would be feeling right now if I had failed all 3!! and Stress is an understatement!!!