I am refreshing this old request that never got so much as a reply nearly 9 years ago.

Clk37 repeated the request a few days later (with slightly different words: "poor duckie" and "them eggs") and still got no response.

I've done a Google search and came up with nothing about a song; however, Penny Cyclopaedia of the Society for the Diffusion of Useful Knowledge, 1840, says that putting duck eggs under a hen was a common practice.