Kennedy's lead in the race is up to about 282 votes, but the Grant campaign is asking a State Supreme Court judge to make sure all the ballots are counted.
Speaking to her supporters on Wednesday afternoon outside the Erie County Board of Elections office, Grant contends some of the votes cast in the inner city area of Buffalo were mishandled.
Former state senator Antoine Thompson, a volunteer with the Grant campaign, says they're concerned about some people who may have over-voted -- meaning they circled her name, and then wrote it in on the same ballot becuase they distrust the system.
Thompson says they believe "...the judge should allow Betty Jean Grant's campaign to look at the digital images of the ballots, particularly where there are large numbers of over-votes in the inner city of Buffalo," he said.
The Grant campaign is also concerned about some affidavit ballots from people who had gone to their old voting districts -- after they had been reassigned to a new district a week before the balloting.
Grant says they informed the Kennedy campaign that its making this request of the State Supreme Court.