Gibb Sahib, Appendix V has Three dance songs from "Twelve Years a Slave- The Narrative of Solomon Northrup" (1855); they are fragments. Here is the Hog Eye lyric, obviously based on the minstrel songs:

Who's been here since I've been gone?
Pretty Little Gal wid a josey on.

Chorus-
Hog Eye!
Old Hog Eye,
And Hosey, too!

Never see de like since I was born,
Here come a gal wid a josey on.

White's version A of "Little David" was sung by "mountain whites," B and C are not credited, D from Blacks, E uncredited, F from Blacks, G from Ed Lloyd (white). The old "secular song" mentioned here are the minstrel song(s) with verses about the josey and about "Hog Eye Man."

Many floating verses, may be found in both secular and religious songs.

"Little David, Play ..." was first noted in the revision by Moten, 1909, of Fenner's "Cabin and Plantation Songs." It is probably older, but is not in print before 1909. Very unlikely that it older than 1880s. See Traditional Ballad Index and my thread on "Little David..." where I posted a couple of versions.