From the sheet music at Baylor University:


SWEET SUE. JUST YOU
Words by Will J. Harris, music by Victor Young, ©1928.

1. Sue, dry your pretty eyes of blue.
Tears were never meant for you.
Smile a while; please do, Sue.
Dear, don't believe the things you hear.
You know I'm lonely for only sweet you.

CHORUS: Ev'ry star above
Knows the one I love:
    Sweet Sue, just you.
And the moon up high
Knows the reason why:
    Sweet Sue, it's you.
       No one else it seems
       Ever shares my dreams,
       And without you, dear, I don't know what I'd do.
In this heart of mine,
You live all the time,
    Sweet Sue, just you.

2. Why should you sit around and sigh
When the sun up in the sky
Shines for you and I, my
Sue? I have always loved just you,
Now that you know it, to show it I'll try.

* * *
Early recordings at the Internet Archive:
Earl Burtnett & His Los Angeles Biltmore Hotel Orchestra, 1928
Ben Pollack and His Californians, 1928
"Fats" Waller and his Rhythm, 1935