Oh yes. Puns. Hard Cheese of old England is a parody of Hard Times in Old England. If we don't have the tune here,(I'll check next) and post it if not. There's a bunch more to the song above (Nobody's Moggy Now) and I bet it's in DT. I know the parody of it AND No Man's Land called No Moggy Land, is that right? is in DT. There's that AWFUL kid's song, maybe funny once, bad more times that ends with "Hare today, goon tomorrow" and the version of Frere Jaques that consists of the words "Life is but a melancholy flower" sung to all four lines. Try it and you'll see what happens.
Searching Flanders and Swan is likely territory too.
Blessings,
Barbara