What is a Higgledy-Piggledy?

A Higgledy-Piggledy (or hig-pig, as we sometimes say for short) is a form of doggerel not unlike a Limerick, but with somewhat different rules. The rules for writing a Higgledy-Piggledy are as follows:

It must be eight lines long.
Each line, except the fourth and eighth, must be a double-dactyl; that is, exactly six syllables with stresses on the first and fourth syllable (like the words "Higgley-Piggledy" themselves). No cheating: this is not a folk song!
The fourth and eighth lines must be just four syllables, also with stresses on the first and fourth syllable (like "Higgledy-Pig").
The fourth and eighth lines should rhyme.
Optional: the first line is usually just the words "Higgledy-Piggledy", you might say as a declaration of what is to follow.
The second line or, if you ignore the above rule, the first, must be a person's name. However, you are allowed to "cheat" as far as using the person's title (e.g., "President Jefferson," or even "Evan the newlywed", if we're not being too strict).
One of the lines (typically the sixth or seventh), must be a single six-syllable word, with appropriate stresses on the first and fourth syllables. This is the hard part: I suggest making no attempt at a hig-pig until you have a suitable six-syllable word; after that, the rest is easy.
Supposedly, once a six-syllable word has been used in one Higgledy-Piggeldy, it should never be used again, by anyone. However, this rule is difficult to enforce in practice!

A standard example is as follows:

Higgledy-Piggledy
President Jefferson
Gave up the ghost on the
Fourth of July;

So did John Adams, thus
Proving such patriots
Propagandistically
Knew how to die.

(By the way, this is true: both men died on July 4, 1826, exactly 50 years after the signing of the Declaration of Independence.) Notice that the seventh line is the single word "propagandistically". Since words of this type, such as "ante-meridiem" and "Franco-American" are relatively uncommon, we generally allow hyphenated words, and we sometimes resort to inventing new ones. This is allowed, at least among friends, as long as the new word is based upon existing English words, prefixes and suffixes, in such a way that it is immediately clear what the word must mean. For example, "duo-chromatically" clearly refers to actions taken using two colors; and "unduodactylly" means writing without using double-dactyls, as in the following self-referential example, which I wrote one night after my friend Evan complained that he was growing tired of constantly writing hig-pigs, and was thinking of turning to some other form:

Higgledy-Piggledy
Evan the programmer
Has an obsession
For which there's no cure;

Can he begin to learn
How to write doggerel
Unduodactylly?
I am not sure.