Cheer Up, Mrs Riley as sung for Carpenter by Andrew Salters, of Greenock, appears to be a version of LAST WINTER WAS A HARD ONE in the DT. It has also been recorded as WHEN McGUINNESS GETS A JOB by Margaret Walters. Information on the origins of the song can be found in sample pages of Folk Songs of the Catskills at Google Book search

It is hard to tell from the recording exactly what Mr Salters is singing, but it's pretty clear that his first verse is based on the second in the DT Bad luck to ...with 40 cents changed to one-and-six (1 and a half shillings) for UK consumption. A clue is that Carpenter's card index gives the first line as "Bad luck to those Atavies" - whatever they may be! The second verse seems to comprise the last two lines of the final verse (See him climb ...) followed by the last two lines of the first additional verse (Ah! Six months ago ...). I am afraid I can not tie Mr Salters final verse to any of those in the DT version.

Anybody care to try to make more sense of this?