Hi Sorry about the reference to Alberta - - a location that I had been researching earlier.
Have you searched to see if there might be a connection between the Birth Mother and your father - and the Oliver Family ?? perhaps through Mrs. Oliver?
The hospital in Gray River - or vicinity - may hold records - May have been sent to Provincial Archive in Victoria.
When did your father - enter school ? - probably at the age of 6/7
perhaps while still in care of his mother . or the Oliver family. Early school records - Registration. might be helpful.
Wonder what the population of Gray Creek was - at the time of your fathers birth.
There may be a town Directory - eg Hendersons or Wigleys -
Census: 1921 Canada Census - for the area - Perhaps could help connect the dots.