Yep that black thing in a sock darner for sure. I doubt anyone darns socks anymore particularly due to what socks are made of now. I still have one of those somewhere that was my Mom's and she used it way back when. And that curling iron thing looks like a hair curling iron but I don't know for sure. You have an interesting collection of sewing history there.
edited: Wow, looks like a bunch of us answered at the same time. Aren't you glad you asked?