I think these are from the 1950s but it may be the early 1960s
* Baby Sittin' Boogie
* Mr Bass Man
* Who Put the Bomp in the bomp sh-bomp sh-bomp
* Monster Mash

My favourite 1950s novelty song I've only heard on Dr Demento and can't find a copy of the 78 (one was mailed to me from eBay but the moron packed it as if it were an LP and it arrived in about 20 pieces. He wouldn't refund my money and the post office wouldn't pay the insurance because it wasn't packaged properly. Grrrr.). I have an album version but it's not the same recording session as the 78. Sigh. The song is "Wong Has the Largest Tong in China" [="Wong Song"] and now I can't remember the artist's name! :(

"Walking 'Round in Women's Underwear" is by Bob Rivers (a local DJ here in Seattle who makes hundreds of novelty songs, mostly spoofs of existing songs which may be cheating). His best are probably "I Saw Her Leaning There" (about Sir Paul's second wife) and "Janet's Coconut" (about the "wardrobe failure" to Harry Nilssen's tune).

Sh-Boom is not a novelty song

The Fab Four did a number of novelty songs including:
* Maxwell's Silver Hammer
* Why Don't We Do It in the Road
* Octopus's Garden
and the best of all
* You Know My Name (Look Up the Number)
* Don't Pass Me By (interesting that 2 are written by Ringo, as he wrote so very few!)
and maybe
* Everybody's Got Something to Hide Except Me and My Monkey

There's a New Sound, the newest sound around,

I know this from Dr. Demento! Tony Burrello. 1952.

"Your red scarf matches your eyes, close the cover before striking, your father got the shipfitter's blues, Loving You Has Made Me Bananas"!

I remember this one from Dr Demento also! The tune is as catchy as the lyrics are weird.

Leader of the Laundromat plot: Boy loves laundry girl, but his parents say he has to go to a different laundry because daddy's shorts came back brown. (Oh, sure, blame the laundress!) Girl's heart is broken and she runs into the street, directly into the path of a runaway garbage truck. The best line: "Who's that banging on the piano?" "I don't know."

Great stanza from The Battle of New Orleans:
We fired our cannon till the barrel melted down
So we grabbed an alligator and we hauled another round
We filled his head with cannonballs, we powdered his behind
And when we touched the powder off, the gator lost his mind!

From the 40s I think: Hitler had only one big ball....

I think "Tennessee Bird Walk" is 60's but I love it!

From the 70s: Sarah Cynthia Sylvia Stout by Shel Silverstein

There were a lot of novelty songs in the 80s and 90s, the pack being led by Weird Al Yankovic. But few of them got much airplay. That's the difference, I think, between the 50s and later decades: fewer and fewer novelty songs became radio hits.

Chuck Berry's only #1 hit was a novelty song: My Ding-a-Ling.