Hi Helpless Mum
Like Guest55, I have been in your position too - that is how I arrived here 4 years ago. I can only say how sorry I am, and we all understand how frustrated and disappointed you must feel.
If you have looked at the link Etienne posted, you will know that you can ask for a copy of the clerk's notes. They will show you whether it a=was a unanimous or majority decision, and perhaps help to put your mind at rest as to what the clerk recorded of your case and the reasons for the decision.
I will say though, that most of the clerk's notes I have seen tend to contain fairly bland statements such as: "the academic evidence did not warrant upholding the appeal". It doesn't really leave you much the wiser, but it does help some people to come to terms with the outcome.
Both re-appeals and Ombudsman appeals are very rare in Bucks, because they do make a tremendous effort to administer the system in accordance with government guidelines.
As Guest55 says, I hope you have a good alternative. In the meantime, do take a read of my Sticky on Bucks about the 12+. Very, very many children who miss the 11+ by a couple of marks go on to qualify via the 12+ with excellent scores. The pass rate in recent years has been in the region of 70%.
If you would like further advice on the 12+, including at which schools you might have a chance of obtaining a place, do post on the Bucks section.