Wilf Carter a.k.a. Montana Slim wrote and recorded THE LIFE AND DEATH OF JOHN DILLINGER, which appears in the Bear Family box set "Cowboy Songs." I transcribed this excerpt from a sound sample:

...manhunt, the greatest ever known.
With plots and plans to trap him, with brains and skill were shown.
His draw was fast as light'ning. Reward stood on his head.
"Go bring in this great criminal, whether he be alive or dead."
It happened in Chicago....

Frank Luther sings OUTLAW JOHN DILLINGER on the album, "Will the Angels Play Their Harps for Me." I have been unable to find any lyrics or sound files.