This has been gone over before, but some people like to travel in circles. It is reminiscent of all of the nonsense written about "Ring Around the Rosie." I won't go as far as Spaw, but he ain't far off.

Hillbilly Joe, the line about a chicken sneezing is in Talley. The second verse is printed in almost exactly that form in Thomas Talley (Negro Folk Rhymes), but from the song "Sheep Shell Corn." A couple of verses:

De ram blow de horn an' de sheep shell co'n,
An' he sen' it to de mill by de buck-eyed Whippoorwill.
Ole Joe's dead an' gone but his Hant blows de horn,
An' his hound howls still from de top o' dat hill.


De fish-hawk said unto Mistah Crane,
I wishes to de Lawd dat you'd sen' a little rain,
Fer de water's all muddy, an' de creek's gone dry:
If it 'twasn't fer de tadpoles we'd all die.

The only difference is that a fish-hawk is substituted for the frog. There are many of these animal rhymes; they were the basis of some of the stories by Joel Chandler Harris (thanks to him some were preserved that otherwise would have been lost) and were substituted in several different songs. However, every attempt shoud be made to preserve the variants.

Crow-scaring songs. Malcolm Douglas came up with the only one so far, date uncertain beyond the 19th c. Caddow, cadow was in use in the 19th c. and may survive locally.

Both the UK song "Blue Tail Fly" and the American one have been posted, There is no similarity other than the title.

Blue Tail Fly and Jim Crack Corn were used in minstrel shows as separate songs, and also were united by the performers. Both seem to have originated about the same time. Separate and joined versions have been posted.
There is speculation as to whether the minstrel or the plantation or Negro versions of these songs were first. Only anecdotal evidence of their existence before the minstrels has been advanced. There is lots of "I think" but some proof is needed.