You can’t just go get someone else’s BC. Right to privacy, identity theft, etc.
A BC is a public record null and void, I’ve gotten copies of other people’s BC’s (at their request) and the copy just had “copy” stamped all over it.
Granted that was before ID Fraud became the menace that it is today, in the past it was no big deal.
Answered many times before ~ you really can “just go get” somebody’s BC. What you probably can’t get is a photo-copy of the original hospital record where all the stuff is taken down by a nurse from the parent(s) and/or other family members to file with the local authorities who then put it on file.