I found it! Words are almost the same as in the original post - just two words are different.

A STAR CHILD
Harvey Worthington Loomis and Arthur Edward Johnstone

I saw tonight a lovely dancer,
And when I asked her her name,
She wouldn't stop to give an answer,
But went on dancing just the same.

And she was dancing on the waters;
I said "I've guessed who you are;
You're one of Twilight's fairy daughters
Who must have fallen from a star."

Source: Hollis Dann Music Course: Third Year Music, by Hollis Dann, Mus.D., Professor of Music and Head of the Department of Music, Cornell University.
Published by American Book Company, New York, Cincinnati, and Chicago.
Copyright 1915

Loomis and Johnstone wrote a number of songs that appear in this book. It's unclear to me who wrote the words and who wrote the music - the name of Loomis is on the left side at the top of the music, and Johnstone on the right.

American Composer Harvey Worthington Loomis (1865-1930) was a favorite pupil of Antonin Dvorak.

American Composer Arthur Edward Johnstone (1860-1944) served for many years as Music Editor for the American Book Company.

Here's the songbook: https://books.google.com/books?id=bgk8AQAAMAAJ&pg=PA77#v=onepage&q&f=false

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Click to play (joeweb)

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I tried emailing the original requester, but the address doesn't work any more. -Joe-