I don’t have a birth certificate. In Montreal at the time I was born, yeah I’m old, all I got was a certificate of baptism from the church at 3 days old. I now have a passport, certificate of naturalization, etc. But when I was five, we had moved to Atlanta GA, and the admin wouldn’t let me into kindergarten without a birth certificate. Must have one, everyone does. I’m betting when I go to get my Social Security it’s going to be the old kindergarten run around again.
I’d be willing to bet that the state government where you were born has an original birth certificate on file for you. If a place like Kenya was producing them half a century ago, you can bet that Canada was.
You might look into that some time.