There is a good recording of the song "Falling Leaf", by Annie M. Curtis and A. C. Farnham (1871). This is the tune that begins "Far beyond the rolling Prairie".

The recording by Curly Fox and Texas Ruby was recorded in 1947 and released by King Records. It is available on YouTube


The song by F. A. M. Stuart and W. Eban Miles (1908) is a completely different song, which begins "They stood on the sunkissed hillside"