When my dad did break the news, it actually sounded as though he was being courted by at least 3 widows. His version was that he felt compelled to ‘pick one’ to make the rest go away. That sounds callous and I’d hate for her to read that and think it was her because I don’t think that’s the whole truth at all - but the idea that it’s men looking for a replacement isn’t always true. I genuinely don’t think he was because I had near daily phone calls of him sobbing. He really wasn’t great company!
That said, he has no significant assets so I don’t have the inheritance worry (I don’t think he would remarry, and I am not even sure they would live together). I don’t think her children are worried about that either. I don’t know them well, but I think that what we probably have in common is that we are enjoying a better standard of living than our own childhoods.
In widower terms he’s a bit of a catch I suppose: he’s independent financially, not rich but not a drain on anyone either. He has grown up children, and is quite involved in my siblings’ lives (they live near). He has his own interests, so he’s not clingy, and he has his stories. When he talks about her, it’s more that he can’t seem to believe his ‘luck’ that she likes him. I don’t believe this would be happening were mum alive, but she’s not, and none of us can change that.
regarding grand children - well they are taking their lead from you. I can’t see in the OP what people are referring to when they say ‘snogging in public’ (that would cross a line for me, but it would be a decency thing regardless of the widower aspect). But at some point my children must surely meet this woman and I will prepare them - Grandad has a new friend, he likes her very much, it doesn’t mean he didn’t love Granny, and we are all grateful that she likes and cares about him. The kids are teenage so I have no doubt they will find it amusing if they are giggly together, but they won’t be encouraged to view this as shameful or a betrayal.