I heard the version of Gary Owen from this thread sung by the troopers of the 3rd Squadron, 7th Cavalry (the divisional cavalry squadron of the 3rd Infantry Division (Mechanized) in 1964. The tune they used was similar to the one that goes with YE CANNA SHOVE YER GRANNY in DigiTrad. I have not heard it in any other context.

The 7th Cav called themselves the "Garryowens". Squadron officers carried blackthorn swagger sticks and maintained a small pipeband which played the Garryowen jig incessantly.

At the time I was assigned to the 1st Battalion, 30th Infantry and later to the Division's 1st Brigade Headquarters.

The 3rd Division's theme song was "Dogface Soldier".

3D INFANTRY DIVISION SONG

I wouldn't give a bean
To be a fancy-pants Marine.
I'd rather be a dogface soldier like I am.
I wouldn't trade my old o.d.'s
For all the Navy's dungarees
For I'm the walking pride of Uncle Sam;
On all the posters that I read, it says
Be all that you can
So they're tearing me down to build me over again.
I'm just a dogface soldier
With a rifle on my shoulder
And I eat raw meat for breakfast every day.
So feed me ammunition,
Keep me in the third division,
Your dogfaced soldier's a-okay.

http://www.audiemurphy.com/ra/dogface.ra

For more on the "Rock of the Marne" see
http://www.army.mil/cmh-pg/matrix/3ID/3ID-matrix.htm for more