Right, thanks to this thread I've discovered that you can sign up to read one or two articles a week in The Times free of charge, and I've done so. Anyone else who wants to do the same, or has a subscription, here is the link to the article.
It's a very long article indeed and it's about his career. There is only a passing mention of his first wife and it is indeed the case that the journalist has chosen to put these two quotes together. We have no idea what else was said. The journalist herself says that she was with him for hours and hours.
This is the quote, in context:
Humphrys was with his ex-wife Edna Wilding when she died of pancreatic cancer in 1997. “I think she was pleased that I was there. I think.”
Was he a good husband? He takes a sharp breath. “That’s a bit near the bone. Of course I wasn’t, because we would’ve remained married if I were.” They had two children, Christopher, a cellist, and Catherine, “a tree hugger”, and Humphrys describes Wilding as “about as near perfect a mother as you can get” – a woman who “got pregnant and said, ‘I’m stopping work and I won’t start work again until the children – however many there may be – are in university.’ And she never did.”
Also of interest is that much later in the interview there's this bit:
...he growls about the BBC and sexism, saying, for example, that he hopes that they replace the outgoing editor of Today, Jamie Angus, with a woman. “If I was lord of all we survey, I would say, ‘Give me a reason why there is no woman capable of doing this job.’ The idea that we’ve never had a female DG or a female leader of the Labour Party … It’s wrong. It’s completely wrong.”
I ask about the dearth of female presenters his age. “Do we regard women of 40 as past it?” he challenges. “Well, we’ve got a bit beyond that, but not enough beyond it. It is preposterous that people like Anna Ford – or whoever, you can pluck any name; Joan Bakewell is a good example – aren’t still there. Absolutely bonkers.”