Barrett will be immortalized forever in the Ohio State Hall of Fame. Over the weekend, Ohio State announced their Hall of Fame class for 2026. Barrett Going Into the Ohio State Hall of FameThe name that many will recognize from Wichita Falls is J.T. When it comes to important quarterbacks in Ohio State history, he's near the top in a lot of folks minds. Over 500 people have been inducted into the Ohio State Hall of Fame since 1977.