It's originally a camping song called "I love the mountains"
http://www.youtube.com/watch?v=5ExQGwF0Z3g
*edit: fixed link
http://www.youtube.com/watch?v=5ExQGwF0Z3g
*edit: fixed link
But the tune of 'Heart & Soul' ( http://www.youtube.com/watch?v=Y8CSjDC18b0 ) isn't very similar to the one in 'I Love the Word'. Confusing.
Here's Hugh Laurie with his take of it, by the by!: http://www.youtube.com/watch?v=cHJRSKvbiXA
tl:dr All parts of the mountain song melody are in 'Heart and Soul.'