Some additional lyrics:

THE OLD MAN OF THE MOUNTAIN
(Brown-Young)
As recorded by Turner Layton and Clarence Johnstone on "Sentimental" (A compilation from 2014)

[Their first part is nearly identical to the version sung by The Mills Brothers—see above.]

With a merry smile and a cheery word,
He stalks along like a quaint old bird,
And a happy little tune you'll hear him croon.
He's the old man of the mountain.

Any time you meet him along the way,
He'll stop to pass the time of day,
And there's something in his style that makes you smile
At the old man of the mountain.

He'll crack a joke if you're happy,
And sing as you trudge down the road,
But if you're kind of weary and footsore,
He'll shoulder your load.

And as time rolls on and the years grow dim,
I'll bet sometimes you'll think of him,
And maybe too you'll wish that you
Were the old man of the mountain.

Yes, I often sigh and wish that I
Were the old man of the mountain.

[I don't know the date of this recording, but Wikipedia says Layton & Johnstone's partnership ended in 1935.]