This seems to be an old version. "... father learned the song in Camden Co., MO, about 1880."

OH BURY ME NOT ON THE LONE PRAIRIE

1
Oh bury me not on the lone prairie,
These words came slow an' mournfully
From the pallid lips of a youth who lay
On his cold damp bed at the close of day.
2
He had wasted and pined till o'er his brow,
Death's shades was slowly gatherin' now,
He thought of his home an' his loved ones nigh
As the cowboys gathered to see him die.
3
Again he listened to the well-known words,
To the wind's soft sigh an' the song of birds,
He thought of his home an' his native bowers
Where he loved to roam in his childhood hours.
4
I've ever wished that when I died
My grave might be on the old hillside,
Let there the place of my last rest be,
Oh bury me not on the lone prairie.
5
O'er my slumbers deep a mother's prayers,
An' a sister's tears will be mingled there,
Oh it's hard to know that the heart throb's o'er
And that its fountain will gush no more.
6
In my dream I saw- but his voice failed there,
An' they gave no heed to his dyin' prayer,
In a shallow grave just six by three
They buried him there on the lone prairie.
7
May the light-winged butterfly pause to rest
O'er him who sleeps on the prairie's crest,
May the Texas rose in the breezes wave,
O'er him who sleeps in a prairie grave.
8
An' the cowboys now, as they roam the plain,
For they marked the spot where his bones was lain,
Fling a handful of roses o'er his grave
With a prayer to him who his soul did save.

"Miss. Myrtle Lain, ...MO, ...1929. Miss Lain's father learned the song in Camden County, MO, about 1880."
Vance Randolph, Ozark Folksongs, vol. 2, pp. 186-187, with brief score.
I wonder if this came originally from a periodical.

The tune is not the same as "Ocean Burial." "Trail to Mexico" is closer.
Looking through songbooks, singers have put their own signatures on the tune, as well as lyrics, so there are many slight variants. We may never know where the 'standard' comes from.

A possible source of authorship is mentioned in Randolph; "Mr. Ed Stephens, Jane, MO, tells me that the song was "made up" by Venice and Sam Gentry, who herded cattle for Alf Dry near Pilot Grove, Texas, in the '70's."