All 20 who voted against the amendment were Tory rebels, with just 204 of the party's 313 MPs who were eligible to vote offering their support to the proposal.
The move comes soon after the Labour party said it would give its support to a fresh referendum if the Commons did not support its own Brexit plans.
Junior agriculture minister George Eustice has resigned from the government, telling Theresa May it is because of her decision to put a possible delay on Brexit. However, a close reading of Corbyn's choice of words reveals that little had actually changed in the party's position: a public vote would only be offered if at some stage an agreement on the same were to be passed by Parliament - which remains highly uncertain at this stage.
After months of saying that Britain must leave the European Union on time on March 29, May opened up the possibility on Tuesday of a short limited extension to the exit date.
Labor's Brexit proposals - which would see the United Kingdom join an EU customs union - were defeated by 323 votes to 240, a bigger margin than the last time MPs voted on them.
A leftwing party pressure group, Labour Against the Witch Hunt, called on members to take action in support of Williamson, by emailing Formby, signing a petition or deploying a model motion that says: "The allegation that Chris is downplaying antisemitism is totally unfounded".
Some pro-Brexit lawmakers, who fear delaying Brexit day could be used to try to stop Britain's withdrawal altogether, abstained from the vote.
After Wednesday's vote, Mr Corbyn said: "We will back a public vote in order to prevent a damaging Tory Brexit or a disastrous no deal outcome".
Boeheim to coach Syracuse vs. No. 1 Duke after fatal crash
A moment of silence, in English and Spanish, was observed for the victim, 51-year-old local man Jorge Jimenez and his family. Krzyzewski said he was surprised by the hug from Boeheim, but he was glad Boeheim made a decision to coach Saturday night.
"After tonight's votes in parliament, we'll continue to push for a close economic relationship based on our credible alternative plan or a general election", Corbyn said. "The Jewish community in Sheffield will feel very vulnerable right now and we need to be doing all we can to support them".
Former shadow cabinet minister Owen Smith, a longstanding critic of Mr. Corbyn, said: "Now that Labor's version of Brexit has been rejected by Parliament, I expect Jeremy Corbyn to throw his full weight behind campaigning for a public vote".
That was enough to avert a showdown in parliament on Wednesday with lawmakers - including ministers in her own government, who had said they were prepared to join a rebellion this week to avert an exit with no agreement.
The House of Commons has emphatically rejected Jeremy Corbyn's Brexit vision by a margin of 240 votes to 323. So the challenge facing the Labour leadership is this: how do we get Brexit, while looking like we tried to stop it?
Politicians will vote on measures meant to force the government to maintain close ties with the European Union after Brexit, and to rule out leaving the European Union without a deal under any circumstances.
The amendment contained Mrs.
McDonnell went on to argue that "the more we focus" on these concerns, the better the chances his and other opposition parties advocating another European Union poll have of convincing parliament to put a Brexit deal back before the British people.
"The government's policy is to get the legally binding changes so a deal can be brought back to this house. and we can leave on March 29 with a deal", May said ahead of the vote. The amendment lost by 36 votes.