Here's my take:

-- Poor Howard --

Ol' Howard poor boy
Ol' Howard's dead and gone
Left me here to sing this song
Who been here since I been gone
Pretty lil' gal with a red dress on (x3)
God knows, pretty lil' gal with a red dress on

[spoken]
Old Howard's a poor boy and he goes around all o'er the plantation
Played for the sukey jump
He's the first man who started th' sukey jump playin' in the world
And he go around the whole time, an' How [false start]
Ol' Howard's dead and gone and everybody sing this song about 'em

[singing]
Ol' oward's dead an gone
Left me here to sing this song
Ol' Howard poor boy
Old Howard he was a poor boy (x2)
Old how was a poor boy, God knows,
Left me here to shout with joy


-- Green Corn --

Green corn
Come along Charlie
Green corn
Go an' tell Polly
Green corn

All I want in this creation
A little bit of wine an' a big plantation
Two little boys to call me pop
One name Solom the other name Grady
Green corn
Come along Charlie
Green Corn
Go an' tell Polly
Green corn
etc.

Two boys to call me poppa
One name Solom one name Grady
One's gonna put 'em(?) one's gonna save me
Green corn
etc.

Stand around, stand around th'demijohn
Green corn
etc.

Wake snake, day's a-breaking
Peas in the pot and hoecakes a-bakin'

-- NOTES --

I've heard "Solom" before in the song "Old Time Religion" - it sounds to me like "Solom'n" as though it were an abbreviated pronunciation of Solomon, a Biblical name

A "demijohn" is an apparatus used in fermenting alcohol, such as with wine, beer, or mead - the way Lead Belly says it, it sounds like "Jimmy John" which may be a colloquial way of saying it (i.e. misheard, and repeated by uneducated people)

Hoecakes are johhny cakes - little pancakes native to American Indian culture