Mr Conroy said: "While as a family we can look into our hearts and accept a mistake, what we cannot accept or forgive is the failure of an individual, in who we placed our utmost trust, to give a full and accurate account of the circumstances surrounding Roisin's birth.
"This meant compounding the injustice by denying Roisin a proper chance of amelioration and recovery.
"Yes, the system failed once again, but here an individual failed us. We are left asking 'where is the accountability?'"
The court was told Ms Conroy was a private patient of Dr Corrstine and was seen on various dates in the run-up to the birth.
Ms Conroy attended the hospital four days before Roisin was born and believed her waters had broken, but she was reassured by another doctor and sent home.
She attended her consultant two days later, when a scan detected reduced amniotic fluid.
Ms Conroy insisted she be admitted to hospital and was told to attend the following day to be induced.
The consultant examined her on the day, but did not attend for the rest of the labour or the birth.
The court was told there was no paediatric team at the hospital at the time of birth and they arrived five minutes later.
Roisin suffered from a lack of oxygen. She was diagnosed with cerebral palsy and now needs 24-hour care and monitoring.
The settlement is an interim one and the family will return to court in two years, when it is hoped a scheme will be in place for periodic payments.