Natty Redlocks did a great job with the "This Old Man" Parody. Here's my stab at Hey Diddle Diddle.
Hey diddle diddle, the Bullpens' a riddle,
Where'd all these arms come from?,
Saarloos, Bray, Stanton, Majic all leave a big question mark,
So many moves, so many match ups,
Narron leaves us all in the dark.
12, 11, 10 spots open.. how many are for sure?,
Veterans a plenty, Rookies are chomping,
Narron has no cure,
Wayne will save us by Opening day, of that you can be certain,
Hey Diddle Diddle, Narron has a fiddle your closer is Jared Burton!
Not exactly in tune with Hey Diddle Diddle but I did my best.