Amy Bishop, a Harvard University-trained neuroscientist, was taken into custody, and her husband has also been detained, the newspaper reported. Neither have been charged.
Police said three people were killed and three were wounded when the shooter opened fire about 4 p.m. during a biology faculty meeting on the third floor of the Shelby Center for Science and Technology.
University spokesman Ray Garner said Friday night the three killed were Gopi K. Podila, the chairman of the Deparment of Biological Sciences, and two other faculty members, Maria Ragland Davis and Adriel Johnson.
The three injured people are being treated at Huntsville Hospital.
A hospital spokesperson confirmed that two men and one woman had been taken there for treatment, with two of those patients in critical condition.
CBS News affiliate WHNT-TV reported the suspect had been denied tenure at the university and the victims were all faculty members.