Hey, look at this! Saint Nicholas, Volume 8, No. 11 (September, 1881) (from an article titled Little Miss Muffet and her Spider, by Sophie Swett):

THE BOLD FISHERMAN

There was a bold fisherman set sail from off Billingsgate,
To catch the mild bloater and the gay mackereel;
But when he got off Pimlico,
The raging winds began to blow,
Which caused his boat to wobble so that overboard he went.

CHORUS
"Twinky doodle dum, twanky doodle dum,"
Was the highly interesting song he sung,
"Twinky doodle dum, twanky doodle dum,"
Sang the bold fisherman.

He wibbled and he wobbled in the water so briny,
He yellowed and he bellowed for help, but in vain;
So presently he down did glide.
To the bottom of the silvery tide.
But previously to this he cried,
"Farewell, Susan Jane!"

CHORUS
"Twinky doodle dum," etc.