The version we used to sing in college in the early 1960s ran something like this:

Gory, Gory Paratrooper

There was blood upon the risers,
There was blood upon the chute,
There was blood upon the sackcloth,
There was blood upon the boots,
And all the ground was spatter-dashed
With little bits of brain and gore,
And he ain't gonna jump no more.

Chorus:

Gory, gory, paratrooper,
Gory, gory, paratrooper,
Glory, glory what a hell of a way to die,
And he ain't gonna jump no more.

The ambulance came screaming up,
Its siren loudly wailed,
The medics walked with happy steps
To where that mess had bailed,
For it had been at least a week
Since the chute had failed,
And he ain't gonna jump no more.

(4 lines missing)
They spooned him in a bottle
And they sank it underground,
And he ain't gonna jump no more.