I don't even know if I'm on topic saying this, but these are the most famous babies I would say:
5. The Olsen Twins (both playing the baby on Full House)
4. Jessica (1 year-old trapped in a well in the 1980s)
3. Shamu, the baby whale
2. Baby Ruth (President Harrison's newborn daughter, for whom the candy bar is also named [not Babe Ruth the baseball star])
1. Little Lindy (Charles Lindburgh's son; some SOBs tried to kidnap the little tyke for ransom and accidentally dropped/killed the baby in the process)