The song that Kent Zacherl seeks (ref. 1) is Poppies, A Japanese
Romance, by American composer Neil Moret (Chas. N. Daniels), published
in 1904 by Shapiro, Remick & Co., Detroit (ref. 2).  The song was
also published in Germany as Mohnblumen (Poppies), Japanische Romanze,
Op. 9, für Klavier (ref. 3).

A piano roll of the song is listed in the Welte-Mignon rollography
compiled by Charles Davis Smith:

  2211 Mohnblumen (Poppies), Japanische Romanze, Walzer -- Moret/Burkard
  C-2211 do (1916-1919)

Roll number 2211 is within the block of numbers assigned during 1910 and
1911.  The recording artist was Heinrich Burkhard, a talented pianist and
organist of Freiburg.  After he emigrated to Poughkeepsie, New York, in
1913 he was known as Henry Burkard.

References:
1. http://www.youtube.com/watch?v=d_MO8Pw0yys  Technisches Museum Wien
   http://www.youtube.com/watch?v=tsM690V3EzI  Wilhelmsbau, Speyer
2. http://webapp1.dlib.indiana.edu/sheetmusic/devincent.do?&id=LL-SDV-026055 
3. http://www.dreiraaben.de/Aktuell/Illustrata/Illustrata_7.htm 

Robbie Rhodes
Etiwanda, Calif.