From an ESPN article

[me@smu]

1935: Even before they meet in Columbus next week, the Buckeyes and Wolverines already have made history. This marks the first time a conference has had two 10-0 teams at the same time since 1935, when TCU and SMU started 10-0 in the old Southwest Conference. The Mustangs claimed a 20-14 victory in the Game 11 head-to-head showdown.

[J.T.supporta]

That must be from Dave Revsines, "numbers" article.

[me@smu]

Exactly right...sorry I was being lazy and didn't bother to properly link the article.