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David Cameron has been accused of secretly plotting to pack public bodies with Tory supporters.

The Prime Minister came under fire after Labour peer Baroness Morgan was effectively sacked as the chairwoman of schools inspectors Ofsted.

She insisted her removal was part of a move to replace ­non-Conservatives on bodies such as the Charity Commission and Arts Council with Tories.

Baroness Morgan, a former adviser to Tony Blair, said: “I am the latest of a fairly long list of non-Conservative supporters not being re-appointed. I think there is absolutely a pattern.”

Labour fears the plot to oust their supporters is part of a Tory bid to tighten their grip on power in Whitehall.

A party source said: “The Tories clearly hope that parachuting their people into key jobs will make it easier for them to force through a range of policies like free schools.”

Baroness Morgan hit out after she was told she would not be given a second three-year term in the role the Coalition gave her.

The move infuriated Labour and Lib Dem MPs and Deputy PM Nick Clegg raised it with Cabinet Secretary Sir Jeremy Heywood.

Baroness Morgan – staying on until autumn while a successor is found – said she had not fallen out with Education Secretary Michael Gove and blamed No 10 instead.

She explained: “I think there is a determined effort that Conservative supporters will be appointed to public bodies.

“It has been a quiet drip. I’m not talking about Labour people being replaced, I am talking about non-Conservative supporters being replaced by Conservative supporters.

“Often they are people who have been working well with their host departments, so I do think this is coming from No 10, not individual departments.”

Last night No 10 rejected the claims. A spokesman insisted Mr Gove had made the decision.