I know of one school, which shall remain unnamed, who has had their logo or one very similar used by numerous other schools.
They threatened them with a lawsuit but always agreed to let them use it if they paid a nominal fee, something like $10. I guess they just wanted to maintain ownership of it.
Two stories. And I'll name names.
First, I was shocked by how unprofessional some universities were about licensing their logo (this was in the late seventies). For example, the licensing authority at Michigan State (Michigan State!) was a student who worked part-time in the Business Office. She had repro quality B&W art of the Spartan...but, for the green color, she gave me a paint chip (a paint chip! not an ink spec!). I got the impression, too, that she was the one who had selected that particular chip...
Second, the licensing officer at Oregon told me that their logo was not trademarked. And that, institutionally, they were very nervous about using it in any kind of prominent fashion. Seems that the then President of Oregon was a fishing buddy of Walt Disney. And on a particular fishing trip on the Rogue, the president noted that, though their team name was "Ducks", they had no logo to represent it.
Walt immediately sat down and, there in the tent, proceeded to sketch a "Donald Duck", passing it to the president. "You can use this", he said.
They never signed a licensing agreement with Walt, which would've allowed them to use the character without any risk. Now, if they used Donald, they were seriously concerned about the possibility of a lawsuit from Disney Corp. As a consequence, they paid us to do a logo for the project and allow them to use it on a limited basis. They evidently had several agreements along this line -- and they used a variety of logos at the time. We chose to work with the "Webfeet" nickname and did a pair of duck tracks for them.
Oregon may have rectified the problem since -- or worked their way around it.