LonelyTown is from the musical On the Town. It was unfortunately omitted from the Frank Sinatra film of the show.

These are my own chord changes.

Lonely Town - Leonard Bernstein

Here's a version played Bill Charlap.
https://www.youtube.com/watch?v=lQ60zUaszzk

And a sung version:
https://www.youtube.com/watch?v=gdGM24kP8mc

Cheers,
Jer