I grew up on the bluesy-jazzy Rodgers version. These are the chords & lyrics I use. I play it on autoharp.:

[G]I just recieved a letter You're [D7] down and out you [G]say,
At [G] first I thought I would tell you to [A7]travel on the other[D7] way.
But [G] in my memory lingers [G7]all you once were to[C] me.
[A7]I'm gonna give you [E7] another chance [D7]to prove what you can[G]be. [D7]

[G]Any old time you want to [G]7come back home,
[C]Drop me a line and say no [C7]more you'll [G] roam.
[D7] You had your chance to play the game [G]fair,
[A7] When you left me sweetheart
[D7]You only left a load of care.

[G]Now that you're [G7]down [C]I'm gonna stick by[G] you,
If [A7] you will only say your [D7]roamin' days are
[G]through.[D7]
[G]You'll find me here like the [G7]day you left me [C]alone,
Any old [D7]time you want to come back [G C7 G]home.