Oh dear, I have met people like this. They collect and trade in gossip, and they will interview you, debrief you, and confide and pry until they get all they can get. Often they literally have no interests except being a 'people person'. The worst one I had to deal with, I had to simply stop saying anything but hello to, if I saw her in the neighborhood.

If I had to interact, I guess I'd do like keberoxu has done, explain that I don't want to get so personal. Then there are evergreen responses to keep handy, like "why on earth would you ask that?" "I'm just trying to mind my own business", dead silence, and walking away.