Gene Autry recorded this in 1941. Here's a snippet transcribed from a couple of sound samples:

I'LL WAIT FOR YOU
Gene Autry, Fred Rose

…So always know my heart beats true.
Don't stay too long, 'cause I'll be lonely.
My one and only, I'll wait for you.

When we're apart I'll ne'er forget you. (or "I'll have you near me")
I'll still recall the things you do,
For you I'll pine. For you I'll pray, dear…

[Patsy Montana recorded a song with the same title in 1942, but I'm not sure it's the same song.]