Interesting thread. Simply because I haven't seen the word used here I add it. These are well-known in folklore circles as 'teasing songs or rhymes'. They are quite common in bawdry and British children have a good repertoire of them.

There one was a lady who walked like a duck,
Who said she'd invented a new way to ...
Educate children etc.

Usually there is no metric gap for the rhyme word, it progresses straight into the first word of the next line.

There must surely be a separate thread for examples of these. I'm sure I've contributed some before now.