Thanks for your list, Gibb. I've had a post ready to go for several days, but was waiting for either this list or new info over at Advent & Development. I'll go ahead and put it up now for comparison. They are almost the same. Here's what I have.
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It seems that we've come full circle here on this thread. I would never say that we've discovered all that there is to discover out there, but we've managed to gather up quite a bit of material. While I've only been able to specifically document a couple of chanties for San Francisco or Sydney between 1853 and 1855 (see my last post above), we have been able to document a nice handful of work songs being sung on board ships around the world prior to about 1860.

The "Julia Ann" sailed three times from San Francisco to Sydney between 1853 and 1855. I figure that if something shows up in print by 1860, there is a good chance that it was around as early as 1855. So based on our work in this thread, here is another tentative list of work songs that *could* have been used on board the "Julia Ann" on her three voyages out to Sydney.

"A Grog Time Of Day"
"Cheerily Men"
"Round The Corner, Sally"
"Nancy Fanana"
"Hieland Laddie"
"Sally Brown"
"Drunken Sailor"
"Fire Down Below"
"Stormalong"
"Across the Briny (Western) Ocean"
"A Hundred Years Ago"
"Mary Ann"
"Mobile Bay" / "Johnny, Come Tell Us As We Haul Away"
"One More Day For Johnny"
"Outward And Homeward Bound"
"Haul The Bowline"
"All On The Plains Of Mexico"
"Aha, We're Bound Away, On The Wild Missouri"
"Whiskey Johnny"
"Paddy Works On The Railway"
"Row, Bullies, Row"
"Bully in the Alley"
"Pay me the money down"
"Bottle O"

And here are some songs that have not come down to us as such, but were documented as having been sung on shipboard prior to 1860.

"Highland day and off she goes"
"Tally hi o you know"
"Heigho, heave and go"
"Ho, O, heave O"/ "Row, Billy, row"
"Roll and go for that white pitcher, roll and go"
"O, Hurrah, My Hearties, O"
"Hurrah! Hurrah! my hearty bullies"
"Time for us to go"
"Dandy ship and a dandy crew"
"Captain gone ashore"
"Heave round hearty!"
"Jack Crosstree"
"Nancy oh!"
"Heave, to the the girls!"
"Pull away now, my Nancy O!"
"Haul way, yeo ho, boys!"
"Yankee Dollar"
"Fire Maringo"

I really wanted to add both "On the Banks of the Sacramento" and "Hog-Eyed Man" to this list, but I have not been able to document them in the 1850's as being sung on board a ship. It doesn't mean that they weren't around, but that nobody I've found *so far* has mentioned it. The "Hog-Eye" song was around as a fiddle song, but no one mentioned it as being used at sea for a work song. Stephen Foster's "Camptown Races" was written in 1850. But the relationship between "On the Banks of the Sacramento" and Foster's song are not exactly clear. If the chanty was so popular, why wasn't it mentioned by someone? They did mention other "popular songs". I have not begun to cover Charlie's extensive bibliography on the California Gold Rush, but my limited Google Book Search has not turned up anything on either of these two songs in the 1850's.