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Maybe a lot more people didn't have names picked out before leaving the hospital, or the requirement to fill the certificate out before leaving changed. Maybe the "name" was removed from census data more thoroughly in other decades. I'm not sure. But I'm confident that very few people actually named their babies Baby and Infant.
In the old days, there were more listings of "boy" "girl" "female" "male" and "unknown."
Ah, so it's kind of a symbol of our society starting to reject the gender binary, haha.