It's not the song Jim Dixon supplied above. I found an online copy of that and it goes like this:

MY EGYPTIAN MUMMY
(Otto Motzan)

Not so many years ago,
In a quaint old freakish show,
Dwelt two mummies whom I know.
They were much in love,
Very much in love,
Both fresh from the river Nile,
They came here in dummy style;
From the moment that he saw her
Then he said with a smile.

CHORUS:
My Egyptian mummy from the land of Pyramids,
We were sweethearts years and years ago—that's why I know.
Though you were turned to stone,
I almost hear you moan,
I'm in love with you,
I'm in love with you,
It's plain to see,
You're for me, I'm for thee.
My Egyptian mummy from the land of Pyramids,
Not so many moons from now I hope we'll wed;
You're my Turkish Trophy,
You're my Turkish Trophy
From the Pyramid,
From the Pyramid Land.

Many many years have passed,
Since my dear, I saw you last,
But no other has outclassed
You're my mummy maid
Don't be afraid,
It must be ten thousand years,
Since I shared your joy and tears;
Come let's hurry
Free from worry, to the river Nile.

SOURCE: http://arabkitsch.com/song-directory-2/1209/my-egyptian-mummy/

Sorry, but I can't find any info on the actual song, such as origins, even with the complete (or more complete) lyrics