Sally Brown,
Agreed, but any song actually called 'Sally Brown' sung aboard we would presume was the well-known chanty unless evidence to the contrary arose. Most chanties appear to be titled in accordance with refrains which is helpful.
'Relatively suddenly' Again agreed but roughly what sort of a period do we consider, 10 years from say 1840 to 1850? I think once you've got a working list of references obviously this will become clearer.