I didn't inherit a button box, but I have been collecting and saving buttons since I was a little girl.
I buy them when I see something unique. I save them when I get extras with a garment and cut the buttons off old clothing before I toss.
Sometimes, if I buy something but don't care for the buttons, I replace them.
My button box is a gold aluminum cookie can.
I learned to sew a button on when I was around four or five years old. I replaced the top button of my pink and white checked terry robe. The original was white, but the replacement was black. It was the only one I could find in the size I needed. I was so proud of my work.
My mother taught me how to thread a needle and sew a button on. Great flashback memory.