How about The ants go marching one by one

The kids in my family also sing

Last night as I lay sleeping
Upon my bedroom wall
The 'skeeters and the bedbugs
Were playin' a game of ball
The score was two to nuthin'
The 'skeeters were ahead
The bedbugs hit a home run
and knocked me out of bed.

The chorus and the rest of the verses have, alas, not much to do with bugs, but it's fun.