The remains of the three children, who are brothers, were found in the rubble Sunday night.
They have been identified as Jaden and Jordain Laing, both seven years-old and eight year-old Adrianna Laing.
The fourth child, their 14 year-old sister, is in hospital.
Radio Jamaica News was informed that the children were at home shortly after 7 o'clock in the evening when the fire was started by a candle.
The fire spread throughout the board and concrete house and the children were trapped.