Christopher Jefferies told the Leveson inquiry that he believes his witness statement was leaked to the media by Avon and Somerset Police.
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A "public-spirited" passerby retrieved the child.
A man wanted in connection with a hit-and-run crash which killed a four-year-old girl has been arrested, police have confirmed.
Scotland's First Minister was pictured with her feet up on the sofa while penning the document to Theresa May.