I heard Gene Autry sing this back in the 40's.
Chords I used to use back when I did C&C:
C tears...D7th morning...Gcry..C you..F should be sleeping
C I just..A (or A7th)weeping..D7th wondering..G too
C..trying..D7 forget you..G that's not..C do
C7th..F tears...C morning..A ..D7th G shed C you