Here's an alternate version, with great differences in the lyrics. This version sounds more familiar to me. You'll find a recording here (click).
-Joe Offer-

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THEY'RE EITHER TOO YOUNG OR TOO OLD
(Lyrics: Frank Loesser, Music: Arthur Schwartz) (1943)

They're either too young, or too old,
They're either too gray or too grassy green,
The pickings are poor and the crop is lean.
What's good is in the army,
What's left will never harm me.

They're either too old or too young,
So, darling, you'll never get stung.
Tomorrow I'll go hiking with that Eagle Scout unless,
I get a call from grandpa for a snappy game of chess.

I'll never, never fail ya,
While you are in Australia,
Or off among the Rooshians,
And flying over Egypt.
Your heart will never be gypped,
And when you get to India,
I'll still be what I've been to ya.
I've looked the field over
And lo and behold!
They're either too young or too old!

They're either too bald or too bold,
I'm down to the wheelchair and bassinet,
My heart just refuses to get upset.
I simply can't compel it to,
With no Marine to tell it to.

I'm either their first breath of spring,
Or else, I'm their last little fling.
I either get a fossil or an adolescent pup,
I either have to hold him off,
Or have to hold him up.
The battle is on, but the fortress will hold,
They're either too young or too old.