Hi Crystal,
The original Edward Mead Johnson and James Wood Johnson who founded Johnson & Johnson were brothers. The Company was founded by three brothers: Robert Wood Johnson, James Wood Johnson and Edward Mead Johnson, all of whom have descendents. There are multiple generations using those names, or variations thereof, in the Johnson family. It's possible that Mead Johnson named a son after his brother.
If any members of the family are reading and can shed some light on Crystal's question, please feel free to leave a comment!
Margaret