In the modern industrialized world, we are so well-documented that it's easy to forget that this wasn't always true. Most of the biographies I've seen of
Nicolas-Louis de la Caille put his birth date at March 13, even some of those that are certain that isn't when he was born!
You see, he was baptized on December 29. This much is in surviving records, but unlikely for a baby born in March. With the high infant mortality of the time the custom was to baptize as soon as possible after birth. And this family had already lost several young offspring, so weren't likely to postpone a baptism.
About a hundred years ago, a historian who was a descendant of the Lacaille family studied the family papers and proposed a birth date of December 14. Others think he would have been baptized on the day he was born.