This was a monster hit for Bing and the Andrews Sisters during World War II.
Bing entered the studio on July 25, 1944, without having seen nor heard the
song. Within 30 minutes he recorded the song, which then sold more than a
million copies and topped the Billboard charts for 8 weeks in 1944-45.
Thge following is as recorded by Crosby and The Andrew Sisters. It deviates from the original Cole Porter Version. The original doesn't contain the parenthetical elements.

Oh, give me land, lots of land under starry skies above,
Don't fence me in.
Let me ride through the wide open country that I love,
Don't fence me in.
Let me be by myself in the evenin' breeze,
(And) listen to the murmur of the cottonwood trees,
Send me off forever but I ask you please,
Don't fence me in.

Just turn me loose, let me straddle my old saddle
Underneath the western skies.
On my Cayuse, let me wander over yonder
Till I see the mountains rise.

I want to ride to the ridge where the west commences
(And) gaze at the moon till I lose my senses
(And I) can't look at hobbles and I can't stand fences
Don't fence me in.

Oh, give me land, lots of land under starry skies,
Don't fence me in.
Let me ride through the wide open country that I love,
Don't fence me in.
Let me be by myself in the evenin' breeze
(And) listen to the murmur of the cottonwood trees
Send me off forever but I ask you please,
Don't fence me in

Just turn me loose, let me straddle my old saddle
Underneath the western skies
On my Cayuse, let me wander over yonder
Till I see the mountains rise.

I want to ride to the ridge where the west commences
(And) gaze at the moon till I lose my senses
(And I) can't look at hobbles and I can't stand fences
Don't fence me in.
(No.
Poppa, don't you fence me in)