Keyser is the latest person alleged to be at the party to say she has no recollection of it.
Eshoo said that Ford understood the risks and consequences in coming forward with her story about a high-profile nominee to the high court.
But they say the Republican-controlled Senate panel hasn't said who will be asking questions of her and Kavanaugh. Telling other Democrats on the Senate Judiciary Committee could risk outing Ford, who had asked that her identity be protected.
"I am writing to request an immediate postponement of any further proceedings related to the nomination of Brett Kavanaugh", she said in a statement.
The New Yorker's report says at least four Democratic senators have received details of the allegation. "So I think as a witness she will speak clearly, share her story and I think the American people need to listen".
But he adds that "unless there's something more" to back up her accusation, he's "not going to ruin Judge Kavanaugh's life over this".
White House spokesperson Kerri Kupec spoke along similar lines. Kavanaugh also is set to appear at the hearing.
Conway said, "I don't think one man's shoulders should bear decades of the #MeToo movement" that has toppled powerful men across industries over the a year ago.
One classmate who Ramirez said egged on Kavanaugh denied any memory of the party, according to the magazine.
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Grassley's spokesman, Taylor Foy, accused Senate Democrats of withholding information on the latest allegation and of seeking a "political takedown" of Kavanaugh.
Trump has called Ford's allegation into question, writing on Twitter on Friday that "if the attack on Dr. Ford was as bad as she says, charges would have been immediately filed with local Law Enforcement Authorities by either her or her loving parents". In those remarks, made in the wake of new allegations revealed by The New Yorker and by Stormy Daniels' lawyer Michael Avenatti, the president expressed his disdain for the women who claim Kavanaugh sexually assaulted them in the 1980s.
Ford's credibility problem was highlighted Saturday when The Washington Post reported that she said Leland Keyser, a lifelong friend, was present at the party.
Support for Kavanaugh has dropped across the board, Fox News' pollsters found: 12 points among independents, 11 points among suburban women, 5 points among men, 4 points among Republicans, 10 points among voters under 45, and 11 points among voters in counties where the 2016 margin between President Trump and Hillary Clinton was 10 points or less. "I look forward to testifying on Thursday about the truth, and defending my good name - and the reputation for character and integrity I have spent a lifetime - against these last-minute allegations".
Ford's attorney, Debbie Katz, said it wasn't surprising that someone wouldn't remember events at a party from 30 years ago.
It had seemed assured before Ms Ford, a 51-year-old California college professor, went public a week ago with her allegation that Mr Kavanaugh assaulted her at a party when they were in high school.
The New Yorker story has come under fire for its reporting after the New York Times said its reporters had interviewed "several dozen people over the past week in an attempt to corroborate her story, and could find no one with first-hand knowledge". "This is another serious, credible, and disturbing allegation against Brett Kavanaugh". In addition to sidelining Ford's request for anonymity, Feinstein's delay was also unfair to Kavanaugh, the committee staff wrote. She says he put his hand over her mouth when she tried to scream.
Grassley's counsel said in a note to Ford's lawyers that "the Chairman asked me to relay again that he will do everything in his power to provide a safe, comfortable and dignified forum for Dr. Ford to testify".
According to a YouGov poll conducted for CBS, more than half of Americans want an FBI investigation before a vote on Kavanaugh, but more than two thirds of Republicans want a vote within days.