actually, they don't even sing "glory, glory" it's "Gory, Gory" (the name of the paratrooper died) but it is based on the real song "Battle hymn of the republic" which is "Glory Glory"
this is the lyrics:

He was just a rookie trooper and he surely shook with fright.
He checked off his equipment and made sure his pack was tight.
He had to sit and listen to those awful engines roar.
You ain't gonna jump no more.

Chorus:
Gory, gory, what a hell of way to die.
Gory, gory, what a hell of way to die.
Gory, gory, what a hell of way to die.
He ain't gonna jump no more.

"Is everybody happy?" cried the sergeant looking up.
Our hero feebly answered, "Yes", and then they stood him up.
He jumped into the icy blast, his static line unhooked.
And he ain't gonna jump no more.

He counted long, he counted loud, he waited for the shock.
He felt the wind, he felt the cold, he felt the awful drop.
The silk from his reserve spilled out and wrapped around his legs.
And he ain't gonna jump no more.

The risers swung around his neck, connectors cracked his dome.
Suspension lines were tied in knots around his skinny bones.
The canopy became his shroud, he hurtled to the ground.
And he ain't gonna jump no more.

The days he lived and loved and laughed kept running through his mind.
He thought about the girl back home, the one he left behind.
He thought about the medicos and wondered what they'd find.
And he ain't gonna jump no more.

The ambulance was on the spot, the jeeps were running wild.
The medics jumped and screamed with glee, rolled up their sleeves and smiled.
For it had been a week or more since last a 'chute had failed.
And he ain't gonna jump no more.

He hit the ground, the sound was "Splat," his blood went spurting high.
His comrades they were heard to say, "A helluva way to die."
He lay there rolling 'round in the welter of his gore.
And he ain't gonna jump no more.

There was blood upon the risers, there were brains upon the 'chute.
Intestines were a-dangling from his paratrooper suit.
He was a mess, they picked him up and poured him from his boots.
And he ain't gonna jump no more.

you should be able to D/L the song at this site