What We Know About Alleged Delta State Gunman and His Possible 2nd Killing

— -- The suspect in a fatal shooting on the Delta State University campus is dead, but police in Mississippi have not said what might have motivated the school instructor to allegedly kill a professor in his office.

And motive in the Monday shooting at the Cleveland, Mississippi, school isn't the only mystery. Police are also investigating another slaying that they say the Delta State instructor may be connected to, 300 miles away.

Here's what’s known so far on the two killings:

DELTA STATE SHOOTING:

A shooting was reported around 10:15 a.m. Monday on the Delta State campus, and the school was placed on lockdown, police said. The victim, identified as Ethan Schmidt, was found dead in his office. The school's Facebook page lists him as an assistant professor of history.

The suspect was identified by police as 45-year-old Shannon Lamb, an instructor of Geography and Social Science Education. Lamb's connection to Schmidt, if any, was not released by police.

Lamb was at-large all day Monday after the shooting.

Monday evening, police said they spoke to Lamb, who told them that he's "not going to jail," according to The Associated Press. It’s unclear when or how investigators spoke to him, but they urged residents to use caution if they encountered him.

At an overnight news conference, Cleveland Police Chief Charles Bingham said officers followed the suspect's car until Lamb pulled over on his own, exited the car and ran into the woods.

The officers then heard one gunshot, Bingham said, and found Lamb with a self-inflicted gunshot wound to the head. Lamb was declared dead, police said.

GAUTIER MURDER INVESTIGATION:

Before Lamb's death, he was identified as a suspect in another slaying: the deadly shooting of a woman in Gautier, Mississippi, a coastal town about 300 miles south of Delta State.

A shooting was reported at a house in Gautier just after 10 a.m. Monday, the Gautier Police Department said. Responding officers found 41-year-old Amy Prentiss dead inside the home.

The Gautier Police said Monday the department was looking for Lamb "in connection with her murder," but did not say how Lamb and Prentiss were connected.

Prentiss' ex-husband, Shawn O'Steen, said Prentiss was the mother of his 19-year-old daughter. O'Steen said his daughter was "devastated" and that she and her mother were "best friends," according to The Associated Press.

The Cleveland Police and the Gautier Police did not immediately respond to ABC News' request for comment today.

The Associated Press contributed to this report.