What song did Katniss father sing to her that had do with hanging himself?

The song that Katniss's father sang to her and had to do with hanging himself is called "The Hanging Tree."

This song is significant in the story because it:

* Represents Katniss's father's mental state: It hints at his struggles and his eventual suicide.

* Symbolises Katniss's own resilience: The song's lyrics about survival and finding strength in the face of hardship resonate with Katniss's journey throughout the books.

* Creates a haunting and melancholic atmosphere: The song's melody and lyrics contribute to the overall tone of the story.

It's important to note that the song is never fully sung in the book. Katniss only remembers fragments of it, specifically the line "Are you going to be a good boy?" This reinforces the tragic and mysterious nature of her father's passing.