The lyrics posted above may be from later publications, but The Levy Sheet Music Collection gives the following lyrics and authorship credits:

RED WING  Lyrics: Thurland Chattaway; Music: Kerry Mills ©1907

There once was an Indian maid, a shy little prairie maid,
Who sang a lay, a love song gay,
As o'er the plains she'd while away the day.
She loved a warrior bold, this shy little maid of old,
But brave and gay he rode one day to battle far away.

Chorus:
Now the moon shines tonight on pretty Red Wing,
The breeze is sighing, the night bird's* crying,
For afar 'neath his star her brave is sleeping,
While Red Wing's weeping her heart away.

She watched for him day and night,
She kept all the campfires bright,
And under the sky, each night she would lie,
And dream about his coming by and by.
But when all the braves returned
The heart of Red Wing yearned.
For far, far away her warrior gay
Fell bravely in the fray.

Chorus

*  The Levy sheet music says "...the night bird's crying...,"  as in "...the night bird is crying... ."^^^

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Click for version in the Digital Tradition, which is almost the same. Still, it's good to have various transcriptions for comparison.
-Joe Offer-