Radio Four's World at One interviewed one Mrs Gabrielle Joyce, Deputy Chairman of Ealing Southall Conservative Association. She said she had no involvement with the decision to put "David Cameron's Conservatives" on the Ealing Southall by-election ballot paper.
She also said she knew of no-one in the local association who was involved in the decision and said that this wasn't unusual in by-elections when the Tory HQ tend to takeover.
The Tory leader of the local council and several Tory councillors also denied to the BBC that they were involved in the decision.
So it seems that when David Cameron said on Today this morning that the decision to put his name on the ballot paper was "taken locally" what he actually means is that Grant Shapps took the decision while he was sitting in Ealing.