So she's had time, her DCs haven't needed her to do anything, she hasn't actually filled her time with her DCs (as you said she's been sitting around the house 'doing nothing'), so her life won't change all that much.
She doesn't seem to want friends. She hasn't kept in touch with people, and that suggests they were more acquantences, not actual friends. People to chat to, people she shared that bit of her life with, not people she actually cared about. Harsh, but if she isn't very good at making friends or interested in having friends, then just providing opportunities to meet new people won't change that, she'll just have new people to chat to for a bit, doesn't mean she'd move them to being 'friends'.
It sounds like you are a 'busy' person, she is not. I know a lot of busy people find 'time wasting' impossible to understand, and assume people must only be time wasting because they can't think of anything to do. Sadly, while you can make people do stuff, you can't make them want to do it. She doesn't want to do stuff, until she does, nothing you or your BIL can say will change that.
(Oh, and I'm a 'busy' person as well, I like having stuff to do, I hate having no plans for a day, but I have learned that a lot of people aren't like me.)