Mother in court following murder of three young children at Dublin home
Deirdre Morley, 43, with an address as Parson's Court in Newcastle, appeared before Dublin District Court at the Criminal Courts of Justice on Wednesday evening.
Siblings Conor, nine, Darragh, seven, and Carla McGinley, three, were found dead in their home at Parson's Court on Friday.
Wearing a blue cardigan, a black top and jeans, Morley did not speak during the brief hearing while she sat in the defendant's area.
Garda Detective Sergeant Dara Kenny, from Clondalkin Garda station, confirmed that she was arrested at 6pm on Tuesday.
She made no reply when she was charged with the offences shortly before 3pm on Wednesday, the court was told.
Defence solicitor Jonathan Dunphy requested that she is afforded medical treatment while in custody.
Mr Dunphy asked for continuing psychiatric treatment and assessment.
Judge Paula Murphy agreed to the order.
The judge remanded Morley in custody until next Wednesday to appear again at Dublin District Court.
The children's father, Andrew McGinley, has spoken of his devastation and grief at their deaths.
He said Conor, Darragh and Carla all had "beautiful, bright futures" ahead of them.
In a statement issued through gardai, Mr McGinley said: "There are no words. There is only devastation, grief and anguish. Every breath is a struggle.
"Conor, Darragh and Carla are adored.
"They all had beautiful, bright futures ahead of them with family, friends and a community who love them.
"To all parents, cuddle your children whenever you get a chance. Tell them how much you love them as often as you can, spend every spare minute with them reading, playing and enjoying their wonderfulness.
"The future has now become our enemy but we will battle it every day to keep the memory of Conor, Darragh and Carla alive."