What song did Ruth Gordon play as Edward G Robinson gave his deathbed dialog?

The song Ruth Gordon played as Edward G. Robinson gave his deathbed dialogue in the 1962 film "The Comancheros" was "My Old Kentucky Home."

This is a poignant scene where Robinson, playing the role of a dying gambler named "Old Man", reminisces about his past while Gordon, playing his companion, plays the song on a banjo.