I've got it -- from "Oklahoma", by Rogers and Hammerstein:
Oh, what a beautiful mornin',
Oh, what a beautiful day.
I got a beautiful feelin'
Ev'rything's goin' my way.
All the cattle are standin' like statues,
All the cattle are standin' like statues,
They don't turn their heads as they see me ride by,
But a little brown mav'rick is winkin' her eye.
etc. etc.
... that is the song you meant, isn't it?