The lawsuit alleges the La Porte Community School Corp. violated its own policies regarding student restraint and never informed the parents that their daughter was placed in the device.
The investigation comes after the video was viewed and shared on social media by a number of people.
50-year-old Olvydas Abromavieius was charged with domestic battery and domestic violence animal cruelty.
The 41-year-old man's body was discovered Friday morning.
Preliminary investigation shows, around 3:15 Monday, a semitrailer hauling brownies was traveling east in the right lane on the Toll Road.
Maxson has been suspended without pay pending the outcome of the case.
Until recently, Indiana had not had a confirmed black bear sighting since 1871.
His wife died at the scene but the mayor survived more than five months before dying.