Laura Christian, birth mother of Amber Marie Rose, a teenager who died in a 2005 Maryland crash involving a Chevrolet Cobalt, said about 30 family members met with Barra and two GM attorneys Monday night. She said they got little reaction.
"A lot of, 'I'm so sorry, I'm so sorry,' " Christian said.
GM would not comment on details of the meeting.
House Energy and Commerce Committee member Rep. Henry Waxman, D-California, said Tuesday that Democratic committee staff members found 133 warranty claims filed with GM over 10 years detailing customer complaints of sudden engine stalling when they drove over a bump or brushed keys with their knees.
The claims were filed between June 2003 and June 2012.
"GM shouldn't be receiving information over a 10-year period and not taking action to either inform the public or recall the vehicles," Waxman said.
Renee Trautwein, whose daughter Sarah Trautwein died while driving a 2005 Cobalt in June 2009 in South Carolina, said she is "sickened" by revelations that GM had multiple warranty claims about the problem yet did nothing.
"I think they should be taken off the road today," she said of the recalled GM cars.
Durbin reported from Detroit. Associated Press writer Marcy Gordon in Washington contributed to this report.