That's great TomB, thanks for Sharp's manuscript version, which is purely Short's material. As in other cases, it looks indeed like, for his published collection, Sharp presented Short's version, but with the addition of (here) 2 more verses. One, I've already identified, came from a Mr. Rapsey. The other is "Our mate he is a bully man, He gives us all the best he can." I've yet to see where that one came from.

So far, in terms of any kind of consensus of common verses between the verses -- those that were documented or published before the Folk Revival -- I am seeing "I thought I heard our [captain] say/tomorrow you will get your pay" and "The times are hard and the wages low." The latter seems to be a "regulation" verse of sorts, and like Keith points out, it was shared with "Amelia..." ("Across the Western Ocean"). I would argue however that, for the most part, the verses are interchangeable with those of any classic chanty ;) Yet "Leave Her" does seems to have a typical theme to its verses (duh!), even if the exact wording and rhymes are not stable -- and that theme is not necessarily the same as "Across the Western Ocean."