I've been looking for OSU fabric for years. It's true that they do not license the fabric for sell to the public. Sheets, bedspreads and t=shirts are the only things I can think of that has the logo. You can check out Buckeye Corner to see what they have.
http://www.buckeyecorner.com/
also Buckeye Connection
http://thebuckeyeconnection.mybigcommerce.com/
The Buckeye Corner has window treatments for $25 and a valance for $17. I've seen these cut up to be used as 'aprons' around a dish soap bottle. This might work. I've also seen shower curtains used. I actually have an OSU bathroom. I've got one curtain on it with a spare with a different pattern when I get tired of that one. But the fabric isn't really 100% cotton. I bought both shower curtains at Walmart in Ohio.
Shower curtain 72 x 72 polyester
[ATTACH=CONFIG]216704[/ATTACH]
This one is on now. 72 x 72 polyester
[ATTACH=CONFIG]216705[/ATTACH]