Is it coincidental that this old song has the same title? Someone more musically literate that a should judge whether the tunes are similar. From the sheet music at the Levy collection at Johns Hopkins University:


NOBODY'S DARLING BUT MINE
Words by John T. Rutledge; music by H. P. Danks; 1876.

1. Nobody's darling but mine, love; nobody loves you like me.
In your bright eyes softly shine, love, visions delightful to see,
Visions of beauty and pleasure, filling my heart with their love,
Bringing me joys without measure, beaming like bright stars above.

CHORUS: Nobody loves you like me, love; fondly and truly I'm thine.
Promise you ever will be, love, nobody's darling but mine.

2. Nobody's darling but mine, love; truly I love you the best.
While your sweet arms 'round me twine, love, earth is a haven of rest.
Lonely I'd be, love, without you, and all the joys that you give.
Surely I never could doubt you, pride of my heart, while I live.

3. Nobody's darling but mine, love; surely I love you alone,
And my heart ever will pine, love, till I may call you my own.
Beautiful faily [sic; "fairy"?] like vision, bright star of hope softly shine.
Make my path one bright elysian, nobody's darling but mine.