At the old Chemistry Building at TTU, a woman with the janitorial crew encountered a student who was trying to steal an advance copy of the exam. I think he'd come in through an underground tunnel. He decapitated her and left her body sitting up behind a desk or at a lab counter. It's said she haunts the building and the tunnels as well, particularly around finals and midterms.
Also, there are reports of a deceased Chem prof who loiters in one of the study rooms and occasionally tutors students (they usually discover, later, that their tutor was "not of this world").
There are other spots on campus (Dairy Barn, Museum, Quack Shack, etc.) and in the Lubbock area that are reported to be haunted.