I don't think the foot in the middle of the bottom row in the 1st picture is a button foot...no place to put something to create a shank. But then not all of them have that. Not a quilting foot either...there's a slot for the needle instead of the needle lowering in front of the foot.
If you look at it closely, it appears to raise up a step toward the back. So I'm thinking it's a gathering foot.