1. The birth of Richard Johannes Schnell: Richard Johannes Schnell, the famous Olympic gold medalist, was born in Columbus, Ohio, on June 13, 1894. He won his first Olympic medal in the 1920 Olympics held in Antwerp, where he won gold in pentathlon and silver in decathlon.

2. The founding of the city of Tiffin: On June 13, 1822, the city of Tiffin was officially founded in Ohio. It was named after U.S. Senator Edward Tiffin, who was the first governor of Ohio.

3. The death of Ohio Governor Jeremiah Morrow: Jeremiah Morrow, the ninth governor of Ohio, died on June 13, 1852. He played a significant role in the construction of the Miami and Erie Canal, which helped Ohio's commerce grow.

4. The discovery of the Serpent Mound: The Serpent Mound, a large earthwork in Adams County, Ohio, was discovered on June 13, 1846, by a surveyor named John Locke. It is considered one of the largest effigy mounds in the world, and its purpose is still a mystery to archaeologists.

5. The establishment of the Cleveland Theater District: On June 13, 1921, the Palace Theater in Cleveland opened its doors, marking the beginning of the Cleveland Theater District. The district is now home to numerous theaters, including the State Theater and the Connor Palace Theater. It is considered an important cultural hub in Ohio.