Highlighting what a few others have said, to me the questions you listed don't seem intrusive, but I can see how it might start to feel like an interrogation if she shoots them at you rapid-fire, or seems interested out of proportion to how she knows the people. And, I was also thinking what LadyL said--a lot of my relatives, I don't see very often or hear about their day to day lives, so if someone specifically asked me about Cousin X I would be like, "Um, I don't know, haven't seen him in a while, but I think he's doing well." Too many of those in a row could make me feel like I'm abnormally out of touch with my family.
I also wondered what, I think, cicero first mentioned--if you give only very short answers to her open-ended questions, MIL might feel she's either hit a sensitive spot, or something you genuinely don't know much about, so she'll immediately jump to another topic. But if you don't seem to "warm" to that one, either, it ends up feeling like 20 minutes of quizzing you on every relative you've ever mentioned. So, maybe try as an experiment elaborating as much as you can on a particular topic, and see if she sticks with that or still jumps around.
Also, even though your DH may not feel the same way himself, I think you can ask him to respect your boundaries simply because they're your boundaries. You don't know why telling MIL this or that makes you uncomfortable, but it does; so, if he sees you being reluctant to tell her, he absolutely should not jump in and tell her those things himself. If he feels things are getting awkward, he can jump in with a new subject of his own, like his own hobby or something he saw on TV.
I know my mom gets really irritated when my dad tells people stories about her friends and family, when my mom is sitting right there, and my dad only knows because she told him--she feels he's sort of appropriating her story and drawing attention to himself in an unappealing (to her) way, in addition to perhaps spinning it in a way she doesn't agree with because it makes "a better story."