Lambeth Council has denied the borough is a hotbed of benefit fraudsters, even though up to 10 times more fraud is being detected there than in surrounding areas.
Four-year-olds in boroughs including Kingston, Merton, Richmond, Croydon and Sutton have been left stranded with no offer of a primary school place for this September.
Parents of some of Richmond's youngest schoolchildren are facing the prospect of paying £75 a year to drop them at school from September if new proposals are agreed.