There was a John and Magdalena S. Bauml (or Margaretha) in Milwaukee who published death notices for their children in the local German newspapers in the 1880s. These are indexed with references to the parents in "Milwaukee's German Newspapers; an index of death notices and related items" (1844-1950). The local German papers (and the index) include the spelling variations Bäumle Baeumle Baumle Baumel Bäumel Bäumele.
For more specific information contact:
Gary Rebholz, compiler/editor
Indexing Milwaukee's German newspapers continuously since 2007...