From David Neale (slightly edited and abridged; clips and pics added)
Although the song was composed by Tepper and Bennett, it was based on the much older classical piano piece, ‘To A Wild Rose’, by American composer Edward MacDowell.
"To A Wild Rose" was first published in MacDowell's Opus 51, "Woodland Sketches" in 1896; "To A Wild Rose" is sketch number 1 of 10 and is based on a tune sung by the Brotherton Native American tribe.
https://youtu.be/2V3HV3RBw6s
‘To A Wild Rose’ was originally recorded by Victor Herbert And His Orchestra in 1910.
The Victor Herbert recording was released on a cylinder by the Edison's National Phonograph Company as an Edison Standard Record, number 10338, in April 1910.
Herbert re-recorded the number in May 1919 and that recording was released on Victor 45187.
Source: https://davidneale.eu/elvis/originals/list1.html#S1721