It's probably not appropriate for your venue, but when I think of Logging songs, Monty Python comes to mind immediately.

The Lumberjack Song

I'm a lumberjack and I'm okay,
I sleep all night and I work all day.

Chorus: He's a lumberjack and he's okay,
He sleeps all night and he works all day.

I cut down trees, I eat my lunch,
I go to the lavatory.
On Wednesdays I go shopping
And have buttered scones for tea.

Mounties: He cuts down trees, he eats his lunch,
He goes to the lavatory.
On Wednesdays he goes shopping
And has buttered scones for tea.

Chorus: He's a lumberjack and he's okay,
He sleeps all night and he works all day.

I cut down trees, I skip and jump,
I like to press wild flowers.
I put on women's clothing,
And hang around in bars.

Mounties: He cuts down trees, he skips and jumps,
He likes to press wild flowers.
He puts on women's clothing,
And hangs around in bars.

Chorus: He's a lumberjack and he's okay,
He sleeps all night and he works all day.

I cut down trees, I wear high heels,
Suspendies and a bra.
I wish I'd been a girlie,
Just like my dear pappa.

Mounties: He cuts down trees, he wears high heels?
Suspendies...and a bra?

...he's a lumberjack and he's okay,
He sleeps all night and he works all day.

...he's a lumberjack and he's OKAAAAAAAAAAYYY.
He sleeps all night and he works all day

:) Michelle