Ruth Percival, 30, gave birth to her son, Jonathan, in the downstairs toilet at her parents' home in Freckleton, Lancashire, on November 25 2014.Her father James Percival, 66, who was then vicar of Holy Trinity CE Church in the village and mother, did not know their daughter was pregnant.
Mr Percival told the inquest that he gave mouth-to-mouth to try to revive the baby, but he thought the child was stillborn with the umbilical cord wrapped around his neck.
No ambulance was called, and he took his daughter for a GP appointment, leaving the body of the child at the vicarage.
The inquest into the boy's death was postponed in October 2016 when Fylde Alan Wilson, HM Coroner for Blackpool, decided to refer the case to the Director of Public Prosecutions.
Today, Wilson ruled out any accidental cause of death or natural causes and said the death was not suspicious.
But he added that he could not rely on the evidence of the former vicar or his daughter.
He said: "I feel unable to place any significant point on the evidence of either Ruth or James Percival.
"There have been various inconsistencies in relation to their accounts which have not been resolved in the course of this investigation."
Concluding the hearing, the coroner said: "I have to bear in mind although James Percival says his daughter was his priority, he did not call 999, he preferred to take Ruth to the GP and perhaps most perplexing of all, remained in the car initially ... only ringing police at least a couple of hours later after this child was initially discovered.
"It seems to me she did not feel able to discuss this pregnancy at home and had she done so, and had ante-natal care, then according to the pathologist's evidence it seems more likely than not Jonathan would have gone on to survive delivery."
The baby's father, Brian O'Hanlon, did not attend the hearing and neither Mr Percival nor his daughter was present for the conclusion after giving their evidence yesterday.
