The inquest into the death of Jonathan Percival was postponed when HM Coroner for Blackpool Fylde Alan Wilson decided to refer the case to the Director of Public Prosecutions.
Alan made the move after a medic stated the newborn could have survived if resuscitation attempts had been made.
The infant's mother, 30 year old Ruth Percival, gave birth in a bathroom in the Freckleton, Lancashire vicarage while on the toilet.
Her father, 66 year old James Percival, who was then vicar of Holy Trinity CE Church came in to help.
Mr Percival told police the child looks "sallow and lifeless" and he thought was "obviously deceased".
However, Blackpool Coroner's Court was told the baby could have survived up to 15 minutes after delivery on November 25 2014.
The father and daughter were arrested and questioned on suspicion of child neglect before prosecutors advised police in April 2016 there was insufficient evidence and to take no further action. The pair were initially arrested on suspicion of murder and conspiracy to conceal the birth of a child.
In March, the Crown Prosecution Service said there remained "insufficient evidence" to charge anyone.
Last October, the inquest heard Jonathan was born with the umbilical cord wrapped around his neck between 3.30pm and 4pm but was not seen by a medical professional until about 5.35pm when Mr Percival let paramedics into the family home at Sunnyside Close.
During that period the baby was left alone in the house wrapped in a towel on a sofa as the pair visited their local GP for a pre-arranged appointment, the inquest was told.
Ruth Percival told detectives that following the birth she thought the baby was asleep or deceased.
No attempt was made to ring 999, the inquest was told.
A post-mortem examination concluded the cause of death was "unascertained".
Giving evidence at the inquest, consultant neonatologist Dr Ruth Gottstein said statistical data showed that when babies were born with the cord around their neck there was an 80 per cent survival rate with resuscitation.
The inquest at Blackpool Town Hall is scheduled for two days.
