The hemorrhage was in an inaccessible part of Jones' brain, Kious said during a news conference at the hospital earlier on Wednesday.
Cleveland Heights police said Tubbs Jones' car was observed traveling east on Mayfield Road at about 9 p.m. in a weaving fashion. The officer activated the cruiser's emergency lights and attempted to pull the vehicle over. The vehicle started rolling across the southbound lanes.
Police said Tubbs Jones was found in "obvious medical distress."
She was one of Sen. Hillary Rodham Clinton's biggest supporters during the primaries. She threw her support to Sen. Barack Obama in June.