Published Wednesday, 24 October 2012
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Dungannon Crown Court heard that the 33-year-old said in police interviews that he was "sick, shocked and disgusted" at what happened to her.
He made the claims as detectives pressed him as to how the 15-month-old toddler got the multitude of injuries found on her body.
She died from severe brain injuries on 11 December, 2009 after being transferred from the Erne Hospital, Enniskillen to the Royal Belfast Hospital for Sick Children.
McCarney, from Woodview Crescent, Trillick, denies not only murdering baby Millie, but also sexually and physically abusing her.
The infant's 27-year-old mother Rachael Martin, from Main Street, Kesh is accused of wilfully neglecting and allowing the death of her daughter.
She denies the charges.
When initially asked about the fatal blow to the back of baby Millie's head, McCarney replied: "I don't know how she got that injury.
"I know absolutely nothing about... I am completely disgusted and in shock that Millie has suffered something like this."
Detectives then questioned him about the alleged sex abuse of the infant and the bruising found around her genital area.
He asked McCarney: "Is there anything you can tell us in relation to that?"
"I know absolutely nothing about that," came the reply.
Baby Millie's various injuries, the head injury, the fractured ribs, the haemorrhaging behind both her eyes and the trauma to her genital area, were listed for McCarney.
He was then asked: "Did you cause any of these injuries?"
The accused replied: "No I did not cause any of those injuries."
He added: "I didn't and I would not harm a hair on her head.
"I cannot express this enough, I am sick, I'm in shock, I'm disgusted by the injuries that Millie had and I've told you before and I'm telling you again, I did not harm that child in any way".
However, police in turn put it to McCarney "Well somebody did", to which he responded: "I'm not the only person that had access to Millie".