The Bodleian Library has a song sheet dated 1860 with an entirely different song, also titled "Rose of Tralee." You'll find a more legible copy of that song (with music) at the Levy Sheet Music Collection

THE ROSE OF TRALEE
(words by John Brougham, music by J.G. Maeder)

All ye sportin' young Heroes with hearts light and free,
Take care how you come to the town of Tralee;
For the witch of all witches that ever wove spell,
In the town of Tralee at this moment does dwell,
Oh! don't venture near her, be warned by me,
There's murdher outright in the Rose of Tralee.
Oh! don't venture near her, be warned by me,
There's murdher outright in the Rose of Tralee.

She's as bright and as clear as a young summer day,
Her breath's like the breeze from the fresh blossom'd May;
Her cheek bears the sea-shell's pale delicate hue,
And her lips are like rose-leaves just bath'd in the dew:
Young men, stay at home then, be warned by me,
There's no hope once you've gazed on the Rose of Tralee.
Young men, stay at home then, be warned by me,
There's no hope once you've gazed on the Rose of Tralee.

Oh! Her eyes of dark blue, they so heavenly are,
Like the night-sky of summer, each holding a star;
Were her tongue mute as silence, man's life they'd control,
But eyes and tongue both are too much for one's soul.
Oh! Stay where you are, leave all danger to me,
For I'd die with delight for the Rose of Tralee!
Oh! Stay where you are, leave all danger to me,
For I'd die with delight for the Rose of Tralee!