I've been told, though it was many years ago and by a second generation Irish-American, that the "filloori man" was a traveling man who told stories, often through song, and in this way the news of the Ireland was passed among villages and rural areas where no one was literate. Children learned the stories in song and rhyme.

The song Seanain was looking for, the one the Irish Brigade (of Ohio, not the other) recorded goes something like this: (It's one of my favorites they did.)

Chorus:
"I am the wee filloori man,
Listen to the drum.
Through the dusty bluebells
To the rattle of a gun.
I'll tell me ma when I go home,
I'll go home if I can.
It's one more time to hear the rhyme,
Wee filloori man.

Verses:
"Wind That Shakes the Barley's" just an old time fiddle tune
You change the rhyme to suit the time and teach the kids the tune
And change the words to nursery rhymes and teach them what was done
It's Derry's Walls, Kick the Pope, and Ring the Rosie Round"

"Watch them change to grown-up games, all the girls and boys
It's through the dusty bluebells and dance just one more toy (??)
And hopscotch on the pavement and Knock Your Neighbor Down
They sing a song of children and Ring the Rosie Round"

"Play an old time fiddle tune and watch the girls dance by
They sing a song of sixpence, a pocketful of rye,
And Sunday morning praying can't compete with the fiddle tune
It's more than string and wax, we fly you to the moon.