Hunter Biden's relationship with Hallie Biden, the widow of his elder brother Beau Biden, first emerged publicly in 2017. Photo / AP
Hunter Biden's daughters found out he was having an affair with his late brother's widow after reading his text messages.
Details of the shocking discovery were revealed in a new book by Hunter's ex-wife, which is due to be published next week.
It is expected to cause further embarrassment for Joe Biden following a host of previous revelations about his son's drug-taking and business dealings.
Kathleen Buhle married Hunter Biden in 1993 and they have three daughters, Naomi, 28, Finnegan, 23, and Maisy, 21.
In 2017, it emerged publicly that Hunter was in a relationship with Hallie Biden, the widow of his elder brother Beau Biden, who died from brain cancer in May 2015.
Hunter had already admitted cheating with prostitutes while away on business trips, Buhle wrote.
In the summer of 2015 she found a crack pipe in an ashtray, and threw her husband out of their house.
Then, in November 2016, her daughter Finnegan telephoned her from the home of the family therapist, and asked her to go there.
When Buhle arrived, Finnegan was curled up in a chair weeping, and Naomi was on a speakerphone.
Finnegan asked the therapist to tell their mother what was going on, saying: "We can't do it."
The therapist told Buhle: "Kathleen, Hunter's having an affair with Hallie."
Her daughters then told her they knew because they had found their father's phone, and discovered text messages between him and their aunt.
They had already telephoned their father, and told him that they knew about the affair.
Buhle wrote: "'Oh my God'. This was all I said. Was this what shock felt like? I could see Finnegan's face relaxing now that the secret was out and I hadn't fallen apart.
"If anything, I felt a strange vindication. Not only had I not been crazy, but it was so much worse than I could have imagined. I was shocked, but not heartbroken."
Buhle described Joe Biden as the "sun around which we all revolved", and how he would always introduce her as his daughter.
But a "sore point" for her was that, unlike Hunter and their daughters, she was not provided with Secret Service protection when Biden became vice president following the 2008 election.
She said it made her feel she was "not truly a Biden," and was "another reminder that I was not 'family'."