I am fairly sure that I first heard The Mower not from Bert Lloyd but on the TV show Dig This Rhubarb. (I may even still have a recording, if I can find it.)

I am also fairly sure that the first verse included the line "I met a maid, she asked my trade ..." or similar, as in some of the versions quoted above, rather than as quoted by Joe 13 May 24 - 04:09 PM from the DT.

It makes more sense that she asks his trade, he tells her he's a mower, and then she tells him that she has a meadow that needs mowing; rather than that she mentions the meadow first.