I am in the same situation as your relative. The deadline for Bexley HT review is this Friday, the 14th Nov. Once the form is submitted, they will let us know the review outcome in December.
As for Beth's previous appeals, number heard/number allowed are 23/01 in 2014, 6/01 in 2013 and 19/0 in 2012.
I was advised not to use the passing other 11+ test as the ground for appeals. Mainly use the child's school reports to prove that he/she is of grammar school material. For Bexley, they need to be at level 5 at the time they take the test.