Both Reading & Kendrick have very low turnover of pupils. It is the odd one or two a year so at number ten on the list it may never happen.
If you look at ofsted report from 2000 for Kendrick (later shorter reports do not have this info. ask the school?)
Pupil mobility in the last school year No of pupils
Pupils who joined the school other than at the usual time of first admission 5
Pupils who left the school other than at the usual time of leaving 3
Numbers refer to whole school not just year seven!
I think you have also posted about Slough schools possibly more chances in that area?
Good luck with your transition plans.