One tweet posted from The Centre for Cultural Change Twitter account asked: "Has anyone looked into Hitler's policy on Zionism? Might not be mutually exclusive with his later actions #Scapegoating #Corbyn."
Another tweet called into question the “Zionist sympathies” of John Bercow, the speaker of the House of Commons, who is Jewish.
According to Guido Fawkes blog, Ms Gordon-Nesbitt registered The Centre for Cultural Change website and no other staff were listed at the organisation.
The Centre for Cultural Change account suggested that allegations of antisemitism against Ms Walker were “politically” motivated by “those who seek to silence anti-Zionist voices”.
Ms Gordon-Nesbitt - a socialist historian who wrote a book praising Fidel Castro - also called the suspension of Ken Livingstone the result of attempts to "smear" Mr Corbyn.
In her Facebook post, she said she “occasionally contributed” to the Centre for Cultural Change Twitter account “well before I decided to stand as a parliamentary candidate.”
She added: “The Centre for Cultural Change tweets were in no way intended to imply that antisemitism doesn’t exist in the Labour Party. They were taken out of context on the right-wing Guido Fawkes hate blog to imply that I was antisemitic.”
She added she was now "considering her options".