The child, who died in Alder Hey Children's Hospital in Liverpool, had been treated in intensive care. It is understood they were severely ill with measles.
The child, whose identity has not been disclosed, passed away at Alder Hey Children's Hospital in Liverpool and is believed to have been suffering from other health complications.
Michael Christian and 2Day FM radio co-host Mel Greig duped staff at King Edward VII's Hospital in London in Decemeber 2012 into disclosing some of the Princess of Wales' personal medical details.
The most dedicated members of the press and public gathered outside St. Mary's Hospital and Buckingham Palace, where a notice announcing the birth was placed.