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The discovery of the remains was made by a male employee at around 11am this morning.
In a press conference this evening Gardaí said they are concerned for the welfare of the mother and made an appeal for her to come forward.
It appears the baby was carried to full term and her birth was quite recent, although is hasn't been full established. A post mortem will be carried out tomorrow along with a full search at the waste facility.
Ohio Governor John Kasich has decided to withdraw from the race to become the Republican party's presidential nominee. On Tuesday, Ted Cruz also quit.
Mr Kasich didn't have a path to secure the nomination outright, but pledged to lobby for his candidacy during the Republican convention in July.
It leaves Donald Trump as the only remaining candidate and his likely opponent will be Democratic front-runner Hillary Clinton, who lost the Indiana primary to Bernie Sanders.
The 45-year-old is accused of stabbing his stepson Dean Fitzpatrick on the landing outside his apartment in north Dublin three years ago.
The jurors have three verdicts open to them: Guilty of murder, not guilty of murder but guilty of manslaughter, or not guilty.
They’ve now gone home after deliberating for two hours and 21 minutes and will resume their deliberations in the morning.
It has emerged that an addiction specialist was called to treat Prince just 24 hours before his death, on what's been described as a "life-saving mission".
Dr Howard Kornfeld says he wasn't able to go to Minneapolis straight away, and sent his medic son Andrew instead. It is understood that Andrew was the person who made the 911 call.
Nima is a small device manufactured by 6SensorLabs, a San-Franscisco based start-up, and can test food for the presence of gluten and provide the results within minutes.
The Nima device can test a wide range of foods including soups, sauces and baked goods.