The driver, 26-year-old former assistant baseball coach Riley Christopher McDermott, pleaded guilty and was sentenced in April to 18 years behind bars.
The lawsuit filed Thursday says McDermott drank 13 beers total at the two bars.
McDermott and The Bench are named as defendants along with both the local Hooters restaurant and the national Hooters company.
Jonathan Angell, the owner of The Bench and not a defendant in the new lawsuit, declined to comment. Hooters officials did not respond to requests for comment.
McDermott was stumbling while walking inside Hooters, which he left shortly after midnight on Nov. 8, 2014, according to the lawsuit.
About 15 minutes later his pickup was near Anderson University when he smashed a car with several people inside, including Cheyenne Perkins, who is now 13 and is identified in the lawsuit as Cheyenne P.
The lawsuit was filed on behalf of Cheyenne's mother, Kristin Nicole Queen.
Cheyenne was initially thought to be among the dead but was saved when Deputy Anderson County Coroner Don McCown, also a trained paramedic, found a faint trace of life and gave her an emergency tracheotomy.
Steven Krause, the attorney who filed the lawsuit, said in court in April and again Thursday that he has to reintroduce himself to Cheyenne on occasion as the result her injuries. Those include severe damage to her spinal cord, paralysis, a fractured neck and brain damage, according to the lawsuit.
The lawsuit alleges that workers at the two bars should have refused to serve McDermott or have called a taxi.
McDermott was given at least one free shot of alcohol at The Bench, the lawsuit says. It also alleges that McDermott hugged and flirted with waitresses at Hooters and dealt with an on-duty manager at the restaurant, and the employees were close enough to him to have noticed his intoxication.
Before the April plea hearing in the case, McDermott instructed his attorneys to not push to dismiss evidence despite a key officer in the case being charged with misconduct related to the investigation. Circuit Court Judge Cordell Maddox said at the time that McDermott could have hampered prosecution but declined to do so and also showed genuine remorse in ways that included meeting with opposing attorneys before the hearing.
The wreck killed 22-year-old Corey Austin Simmonds, 17-year-old Amber Hope Perkins and 20-year-old Jessica Ann Roberts.
A lawsuit filed last year by attorney Tom Dunaway on behalf of the estate of Amber Perkins, Cheyenne's older sister, was withdrawn last year in a way that allowed attorneys to resume the lawsuit after the criminal charges against McDermott had been resolved.
Krause said the lawsuit filed Thursday was not part of Dunaway's case.