Mr Corbyn's claim "most of our media" didn't report the death of the homeless man accompanied headlines of the "stupid woman" row as featured in The Times, the Daily Mail and the Independent website.
Jeremy Corbyn accused the Tories of "unbelievable stupidity" as he shot back in the furious row over his muttered comments in the Commons.
He said the opposition leader instead said, "stupid people", and therefore would not make an apology.
Many MPs called on the Speaker John Bercow to take action against Mr Corbyn.
"I did not use the words "stupid woman" about the Prime Minister or anyone else, and am completely opposed to the use of sexist or misogynist language in absolutely any form at all", Corbyn said.
The spokesman confirmed that Mr Corbyn was shown material by colleagues on mobile phone screens during questions, saying: "They were trying to draw (his) attention to what was going on and what was being said".
James O'Brien said that he thought everyone had "piled in on the lip reading question yesterday because it is actually the closest we've come, in the context of modern British politics, to a little bit of light-hearted relief".
During PMQs today, viewers said Jeremy Corbyn appeared to describe Theresa May as a "stupid woman".
Other female MPs also accused Bercow of misogyny, including Tory MP Vicky Ford who said she had heard the speaker call her a "stupid woman" in a previous session.
She defended the prime minister's use of pantomime language, saying it was "a bit of parliamentary banter", which "anyone could tell" was different to calling someone a "stupid woman".
The Conservatives are unhappy with what they view as Bercow's pro-Labour bias, despite the fact he stood as a Tory member of Parliament, and he has had a long-running feud with Leadsom.
She said: "It is obvious me that the Prime Minister's tactics are to run down the clock so that it gets to the point that it's either her deal or no deal".
"With just 100 days to go, the suggestion that "no-deal" can be "managed" is not a credible proposition", the joint statement said. Bercow reacted with barely contained anger, wagging his finger at Ford and denying the allegation against him.