I found the recitation by Googling for "in the window broad and high."

Newspapers.com has several examples listed for this recitation:

• Marshall County Republican - 19 October 1876
• Boston Globe 18 February 1962 (from a column titled "Songs & Poems of Long Ago")
• New England Farmer 14 October 1876
  
• The New Century Speaker (1901) - attributed to Will Carleton
• The The American Reciter and Reader - again attributed to Will Carleton

And many others.