It should be noted that there are numerous individuals who were born and died during vital records registration whose events are not recorded. Frequently the reason is something other than fraud. Women did not routinely go to the hospital to give birth. Errors of omission, misspelling and misinterpretation also account for a significant proportion of mistakes in those records that were created. This should be remembered when using any type of record, especially when information does not match that in other documents.
Errors happen for a myriad of reasons.
Let's look at Laura, a fictional person, whose records are not that far from reality. About a month later, the doctor filled out the birth certificate. He was fairly certain the child's name was Lawrence, but it might have been Lorenzo. His wife happened to know the mother's maiden name, which was fortunate as the family did not have a phone and lived too far for the doctor to make another quick visit. Unfortunately, Laura signed her married name on the actual record, so we don't have her signature of her maiden name to analyze.