I get it... if you picked a modern day 'cut off point' for modern football like 1946 or 1951 or 1990 or whatever, records would be different.
For a comprehensive list of ALL OSU's opponent: https://ohiostatebuckeyes.com/wp-content/uploads/2018/09/9_Results.pdf (pg 14)
In 1892 OSU played, and mightily defeated, 'Dayton YMCA'
Back in days of College Football's wild wild west phase when players died (seriously, 19 deaths in 1905 alone) and rulebooks varied from town town to town...
Heck, in 1916, John Heisman at Georgia Tech, in a deliberate effort to run up the score, scheduled a game against a team that cancelled their football program the previous year (Cumberland) and soundly defeated their makeshift squad by, a record, 222-0.