I searched The Library of Congress American Memory (Performing Arts) for "bisque" and came up with two hits, neither of which was the song.

I followed a link to an entertainer Esther Schenkel, where it said "Little Miss Shenkel's Costumed Acts from the writings of James Whitcomb Riley and Edmund Vance Cooke are Immitable." This was next to a picture of her dressed and captioned as "The Little Bisque Doll."

It sounds like the title is "The Little Bisque Doll."
It's possible that the song is a poem by James Whitcomb Riley or Edmund Vance Cooke, and set to music by Wade. I'm an ignoramous when it comes to poetry, so I don't know how likely this would be.