The certificate number is not likely to be a sequence of birth number. It is most likely a sequence of health department form processing. If the number was based on a birth sequence then the health department would have to hold up issuing other birth certificates while waiting for forms that they wouldn’t even know existed. That does not make any sense at all. The order that the forms were received at the health department would be the order of sequencing for the certificate numbers.
Bingo. Needs repeated for MHGinTN