I found this brief verse in Dorothy Scaborough's On The Trail Of Negro Folksongs (Folklore Edition,1963, p. 190; originally published in 1925 by Harvard University Press)

"Mrs Ratcliffe of Natchez has two felines in a fragment of a folksong she gave me:

Mary, she did dream a dream,
As she was floating down the stream.
When she woke, she gave a sigh,
The grey cat kicked out the black cat's eye!

-snip-

That exact same verse is given on page 248 in the book American Negro Folksongs by Newman Ivey White that Stewie provided earlier in this thread. But it's given on that page as the first verse of a longer song that has the line "Sallie get your hoe-cat done, my love" as the first line of its chorus.

Incidently, I'm not sure if this is the same passage that White referred to that is supposed to be found in Sarborough's book. White cited page 106 and said that the song was from Virginia. However, that page in the book that I have provides an example of "Jim Along Josie" and contains no mention of cats.