The woman's body was found at an address close to King Edward VII Hospital in London, where the Duchess was being treated, according to the U.K.'s Daily Mail. Sources are suggesting the woman may have committed suicide.
The hospital said this afternoon: "It is with very deep sadness that we confirm the tragic death of a member of our nursing staff, Jacintha Saldanha. Jacintha has worked at the King Edward VII’s Hospital for more than four years. She was an excellent nurse and well-respected and popular with all of her colleagues.
"We can confirm that Jacintha was recently the victim of a hoax call to the hospital. The hospital had been supporting her throughout this difficult time."
The Daily Mail reported that "John Lofthouse, Chief Executive at King Edward VII’s Hospital, added: 'Our thoughts and deepest sympathies at this time are with her family and friends. Everyone is shocked by the loss of a much loved and valued colleague.'"
Lord Glenarthur, Chairman of King Edward VII’s Hospital, says, 'This is a tragic event. Jacintha was a first class nurse who cared diligently for hundreds of patients during her time with us. She will be greatly missed.'"
Kate, who was admitted to hospital on Monday, returned to Nottingham Cottage in the grounds of Kensington Palace and cancelled upcoming engagements after doctors told her to rest.
And she may have to recuperate without Prince William by her side, as he may be returning to duty with his Search and Rescue squadron at RAF Valley in Anglesey, it has been reported.
[ Related: Kate leaves hospital after morning sickness ]
Meanwhile, the DJs are facing a barrage of criticism on Twitter for continuing to play up their prank, even though they had apologized earlier in the week for the stunt. The presenters, from 2Day FM, remarked during their show how their efforts were the "easiest prank call ever made," as they put on mock British accents they later described as "terrible."
— Michael Christian (@MContheradio) December 7, 2012
With files from the Daily Mail.