A man cleared of killing his six-week-old son by a jury had already been blamed by a civil court judge.
Craig Beattie, 36 and from Carlisle, was found not guilty of the manslaughter of his baby son Kye Levi Kerr following a crown court trial late last year.
But, in a case resembling that of south Cumbrian toddler Poppi Worthington, Mr Justice Peter Jackson - who had examined issues at a separate earlier hearing in the Family Division of the High Court - had already concluded that Mr Beattie was responsible.
Detail of Mr Justice Jackson's conclusions have emerged in a ruling published on a legal website.
It had remained under wraps until criminal proceedings concluded.
He had analysed issues which involved a local authority and were not directly related to criminal proceedings.
Kye died in 2011 after suffering head injuries.
Mr Justice Jackson, who is based in London, had been asked to make decisions on the balance of probabilities. A criminal court rules "beyond all reasonable doubt".
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He said, in his ruling, that he had "reached the clear conclusion" that Mr Beattie was responsible for injuries Kye suffered.
The judge said Mr Beattie had shaken Kye then, during a second incident, struck the baby's head against a hard surface.
"There is no reason to believe that the father intended any harm," said Mr Justice Jackson.
"It is likely that his actions were the result of tiredness and impatience with the many demands of such a small baby, leading to repeated loss of control."
The judge said Mr Beattie had realised that Kye was hurt after the second incident and added: "Instead of seeking help, he put him into his Moses basket in the bedroom, hoping that all would be well and determined to conceal what he had done."
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