Would a stillborn baby born in 1967 have birth or death certificate?

It is very unlikely that a stillborn baby born in 1967 would have a birth or death certificate. My elder brother was born in that year and did not have one. All we have is the bill for his burial in common ground of a Morningside cemetery. Through help from Mortonhall enquiry we have now found the unmarked plot in which he was laid to rest. We now plan to place a memorial for him.