The term "Baby Doc" refers to Jean-Claude Duvalier, who was the son of François Duvalier, a former president of Haiti. He became the president himself and ruled Haiti from 1971 until he was removed from power in 1986. The nickname "Baby Doc" came from the fact that he was seen as a younger version of his father, who was known as "Papa Doc."
"Baby Doc" is a specific historical term related to Jean-Claude Duvalier, and it is used in discussions about Haitian politics and dictatorship.