A version of the song can be heard on youtube. "Music by Michael Sundell."

The song, sung by David McCallum, from an old 78rpm disc.
https://archive.org/details/raretunes_196_auld-robin-gray-song-air

Two silent films based on the song were made in 1910 and 1917.
abc notation and a brief score by Jack Campin at http://abcnotation.com

The name has been put to a Scottish country dance:
http://www.scottish-country-dancing-dictionary.com/dance-crib/auld-robin-gray.html
(Instructions given)

A sheet music copy, air by Rev. Mr. Leeves, is online from Ball State University.
http://libx.bsu.edu/cdm/compoundobject/collection/ShtMus/id/819