Connecticut vital statistics office.
You may be able to get one from the city you're currently residing in but I'm no 100% sure on this. Your best bet would be to call the local county recorders office or stop by and ask. Regardless there's an application to fill out and a small fee (typically between $20-$30) to obtain the certified copy. Hope this helped.
The recorder from the county that you were born in.
Thanks! Your answer is awaiting moderation.