The ad I think you're referring to is:
http://tinyurl.com/5lwy36
I think the ad and the music are both well put together.
2 songs I know by this tune are:
"When Johnny comes marching home"
When Johnny comes marching home again,
Hurrah! Hurrah!
We'll give him a hearty welcome then
Hurrah! Hurrah!
The men will cheer and the boys will shout
The ladies they will all turn out
And we'll all feel gay when Johnny comes marching home.
...
and "The animals went in two by two" refering to the biblical tale of Noahs Ark & the floods
The animals went in two by two, hurrah! hurrah!
The animals went in two by two, hurrah! hurrah!
The animals went in two by two, the elephant and the kangaroo
And they all went into the ark, for to get out of the rain.
...
I think the ad is loosly themed on the 2nd song given the animal content and the old ship at the end.
According to this site (http://tinyurl.com/5p255q), the Agency involved is Vallance Carruthers Coleman Priest, London, but no mention of musicians involved.
I don't remember the tune in Die Hard, but could be wrong.