From the sheet music at Indiana University:


SMILE AND THE WORLD SMILES WITH YOU (WEEP AND YOU WEEP ALONE)
Words by Jimmie Lucas, music by Billy Frisch.
Published by Broadway Music Corp., New York, 1919.

1. Oh, don’t you remember your school days when a tot,
When teacher taught you right from wrong?
You failed in your lessons; you’d say that you forgot.
Then teacher would help you along,
And when the skies were cloudy, and all the kids looked blue,
She’d say, “Just think what Shakespeare said; here’s what you must do:”

CHORUS: Smile and the world smiles with you; weep and you weep alone.
Tho’ tears bring sadness, smiles will bring gladness.
Chase the gloom and brighten your home. (Don’t worry.)
Storm clouds have silver linings; sunshine comes sailing through.
So don’t frown or you will be lonely; smile and the world smiles with you.

2. Our school days are over; we’re grown up girls and boys
With love and happiness at stake.
When sorrows pursue you, and life has lost its joys,
Then you don’t know which road to take,
The straight road is the great road; its path will lead you right.
And if you’ll only follow it, a smile will be your light. CHORUS.

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The Internet Archive has a recording by:
Lewis James and Peerless Quartet, 1919.