Joe:

"My Little Girl" is a Broadway song from the 1910s.

My little girl, you know I love you and I long for you each day,
My little girl, I'm thinking of you, though you're many miles away.
There was a time down in the wildwood when you promised you'd be true,
My little girl, you know I love you and I'm coming back to you.

Several hillbilly string band recordings in the 20s, including the Spooney Five, plus a delightfully off-key rendition by Haskell Wolfenbarger. The Revard band do the straight verse, then add another, approximate and off the top of my head as to lyrics. (Actually, with the LP not in reach, I think they do the comic verse first and then the straight one.)

My little girl, you got sleepy, and you went upstairs to bed.
You put your glass eye on the mantle, and your peg leg under the bed.
You put your twelve teeth on the dresser and your blonde wig in the chair.
My little girl, you know I love you, but you're scattered here and there.