Precisely so. Three of my children were born at home. We did not take them into any hospital, or any such thing. Their birth certs came later on the signed certification of the midwife. We called the newspapers with birth announcements in each case.
The announcements in the Honolulu papers were not like that. They are not celebratory announcements. They are gathered by the vital records bureau then given to the papers to print. You can’t get one put in by request or payment.