Feeling “burned” by her husband’s first run for the presidency, Jill Biden resisted advisers including Ron Klain, now White House chief of staff, who pushed him to mount another campaign in 2004.

“All these men – and they were mostly men – coming to our home,” she said. “You know, ‘You’ve got to run, you’ve got to run.’ I wanted no part of it.”

The first lady was speaking to Julie Pace and Darlene Superville, co-authors of Jill: A Biography of the First Lady, which will be published next week. The Guardian obtained a copy.

“I didn’t even know whether I wanted Joe to ever do it again,” Jill Biden said. “I mean, I had been so burned.”

Joe Biden first ran for president in 1987, withdrawing amid allegations that he plagiarised the leader of the British Labour party, Neil Kinnock, in campaign remarks.

Jill Biden was describing a meeting at the Bidens’ house in Delaware more than 15 years later, when Joe Biden met Mark Gitenstein, a long-term adviser, and Klain joined on speakerphone.

John Kerry, then a Massachusetts senator, was favourite for the Democratic nomination to challenge George W Bush. But, the authors write, “some party leaders thought Joe could go head-to-head with [the] president … in the general election”.

“There were always so many people trying to get Joe to run,” Jill Biden said. “You’ve got to run again. You’ve got to try again. Always. It was constant.

“He knew that I wasn’t in favour of his running.”

The authors cite Jill Biden’s autobiography, Where the Light Enters, published in 2019, in which she describes “‘fuming’ out by the pool” while the meeting with Klain and Gitenstein went on.

Jill Biden writes that she eventually cut the meeting off by drawing “NO” on her stomach with a Sharpie pen and “march[ing] through the room in my bikini.

“Needless to say, they got the message.”

“Joe and Gitenstein did, at any rate,” Pace and Superville write. “Klain, still eagerly engaged on speakerphone and unaware of what had just transpired in the room, kept brainstorming away.

“‘I don’t understand it,’ a bewildered Klain said later when Gitenstein called to explain. ‘The conversation was going so great and all of a sudden, it just stopped.’”

Joe Biden did mount a second run for the White House in 2008, with Jill’s support, but dropped out early, unable to compete with Hillary Clinton and Barack Obama.

He was Obama’s vice-president for eight years, spent four years in apparent retirement, then beat Donald Trump in 2020 to become, at 78, the oldest president inaugurated for the first time. Pace and Superville describe how Jill Biden supported her husband’s second and third White House runs.

Klain was appointed to oversee the effort against Ebola in 2014 and remains one of Joe Biden’s closest and most powerful advisers. Last year, the New York Times reported that “Republicans have taken to calling him Prime Minister Klain”, a characterisation Klain has disputed.

Gitenstein, a lawyer who worked for the Senate judiciary committee when Biden chaired it, was ambassador to Romania under Obama. He advised Biden in 2020 and is now US ambassador to the European Union.

Jill Biden’s most senior male aide is Anthony Bernal. He has been described, by Politico, as both “an influential figure” and “one of the most polarising people” in the Biden White House.