“We stonewalled because we didn’t know what to do,” he said.

The family also spoke to the BBC on Tuesday.

“It’s been a little bit stressful, but we have tried to handle it,” said Ms Kim. “We laughed a lot – but we were actually worried a little bit more.”

Her husband continued: “We were worried that the BBC would never call us again, actually – that was our first response: mortification that we had completely blown our relationship with you.”

Asked whether he was stung by many people assuming that Ms Kim was his nanny, rather than his wife, Mr Kelly replied: “Yeah, we were pretty uncomfortable with it.”

Ms Kim continued: “We didn’t argue about any of that. I hope that people just enjoy it. I’m not the nanny, that’s not true. So I hope people stop the arguing.”

Mr Kelly also confirmed that he was wearing trousers and not, as many people speculated, in his pyjamas or his underwear.

“We’ve watched it back multiple times, and everyone we know seems to think it’s pretty hysterical – so we understand why it was enjoyable,” he said. “It was catching a regular family off guard.”