The 1885 poem predated the Depression era comic strip. Annie was really supposed to be Allie -- Mary Alice "Allie" Smith, who came to stay with the Riley family in Greenfield during the winter of 1862.
Yes, my Indiana accent is inaccurate. Sorry, Hoosiers. Feel free to record a more authentic version.
Also, Riley recorded this poem in 1912 with the Victor Talking Machine Company; I'd love to hear his reading.