Presumably the song by Lewis Hall. An 1893 broadside (text only) by Wehman of New York can be seen at  Bodleian Library Broadside Ballads:

The widow's plea for her son

Images of the front covers of a couple of sheet music editions can be found online, but I don't find the actual musical notation at the moment. However, there is an mp3 of Will F Denny's 'Parody On Widow's Plea For Her Son' (1904) at the Internet Archive:

http://www.archive.org/details/WillFDenny

Probably the tune is the same.