I just did a bumch of writing about the wreck of the Shenandoah, and uncovered some info about the song, as well as a picture of the cover of the sheet music for it.
here's my writing (one of a series of articles I wrote about lighter-than-air aviation on my blog):
and here are the links to info about the song:
and about the songwriters, Carson Robison and Vernon Dalhart:
(geocities sites are offline until May 19th, 2002)
When I contacted the maintainer of the Dalhart site he told me he no longer had the sheet music, so the melody remains unknown; I was unable to locate a digitally-captured recordring. The original sides must be exceedingly rare, as the info about the song indicates that it was recordrded, released, and then pulled from the market at the request of crewmembers families within about two weeks of the wreck.