Ok here goes - Unicorn is lovely. I am biased. I was in the first year the day the school opened. DS got a place, but also got a place at Ibstock. In the end we decided we could afford neither.
Have been to see East Sheen. Lovely headmaster, really warm, kids seem to adore him, school has a very happy feel to it. Neighbour works there, all her three boys have gone there. Would be very happy for ds to follow in their footsteps. Headmaster made the point that the stat tables don't tell the whole story. EG: there are several special needs children at his school who are doing brilliantly. However, their stat results will bring the school's average down. But he was brutally honest and said he couldn't care less that his school will never top the league - what matters is that the kids are happy, valued pupils who bring a great deal to the school. I really liked him for that! Regarding difficulty of getting in - for intake this september they had a record number of siblings and so could only offer a handful of places. Of these two sets of twins ate up four places - leaving I think just six places!
And yes, there is Sheen Mount. Does brilliantly in Stats, is heavily oversubscribed, pupils are predominantly from affluent backgrounds. Have not been to look round yet - going in a few weeks. Heard varying reports from people who have done so. Yes, there is stacks of money thanks to the PTA, yes the school has lovely grounds and its own swimming pool. However, a friend did some work there and said it is pretty much a private school but without the fees, said he felt sorry for any child that does not go on to private secondary school as they "won't know what's hit them". That's not to say I'd turn down a place.
Finally, there is the new school Marshgate on the Sheen Road. This seems to be where most kids who don't get in to East Sheen or Sheen Mount are being sent. Brand new school so nothing to judge it by as yet - but neighbour's daughter is going and she says the facilities look superb. Will be going to have a nose soonish.
Haven't got a clue where ds will end up going. But it will be one of the above.
Don't think you will be able to put your dd;s name down for any of the above though - she is much too young for state registration.