An actual spartan? clicks through out of curiosity ah no, refers to a Michigan State University baseball coach : “The Michigan State Spartans are the athletic teams that represent Michigan State University.”
Did you expect time travel was developed, while no one was looking?
To be fair, many ancient civilizations played ball games. The Pre-Columbian civilizations in Latin America built stadia for ball games. So maybe the ancient Greeks had an effect too.
Sparta is a modern-day town. Not particularly famous for its baseball players.
People are still be born in Sparta, Greece; no time travel needed.