The Carpenter indexcontains the following mentions of publications of Stormalong:

White Ethiopian Melodies ( 1851 ) Is this an earlier version of Christy and White, 1854?
Storm Along, Stormy - O I wish I was in Mobile Bay

Harper's Magazine ( 1882 ) two versions
Storm Along, Stormy - Old Stormy he was a bully old man
Storm Along, Stormy - Old Stormy he is dead and gone

Stephen B. Luce Naval Songs ( 1883 )
Old Storm Along - Old Storm Along is dead and gone

Plus a version collected from Stanton King in 1929
Storm Along - Stormy's gone, that good old man

And four versions from ex-seamen, the earliest of whom first shipped in 1866