Hi kat,
here´s the best version I found. The other is missing quite some words and meaning, it´s kind of guessing the lyrics like I probably would.
This version is almost identical to how Derroll recorded it as "Chattering Jaw", but it´s somewhat different from the versions to be found in DT, the ones you pointed out.

Will The Weaver (Chattering Jaw)

"Son, O son, O what's the matter?
Does she lie or does she patter?
Does she do the tattering-O,
On with Will the weaver, O?"

"She don't lie and she don't patter,
She don't scold and she don't flatter,
But she does the tattering-O,
On with Will the weaver, O."

"Son, O son, go home and love her,
Do not find no fault above her,
But if she does not do well,
Pick up a stick and beat her well."

He went home, and a friend she met him,
Thus she said, but just to fret him,
"Saw your wife awhile ago,
On with Will the weaver, O."

He went home in a devil of a wonder,
Knocked at the door just like thunder.
"Who is that?" the weaver cried.
"That's my husband. You better hide."

Up the chimbley Willie badgered,
Through the door her husband entered,
Searching all the walls around,
Not a soul could be found.

He set down by the fireside, weeping,
Up the chimbley got to peeping,
There he spied the wretched soul,
Sitting on the pot-rack pole.

He put on a rousing fire,
Just to suit his own desire,
His wife cried out with a free good will,
"Don't do that, for the man you'll kill."

He put on a little more fuel,
His wife cried out, "My love, why do you?
Take him down and spare his life
If you want me to be your loving wife."

He retch up and down he took him,
Like a raccoon dog he shook him,
Where he's white, he beat him red,
Made poor weaver wish he's dead.

He went home and his wife she met him,
Up with a stick and down she set him,
Where he's red, she beat him blue,
Every word of this is true.

Regards, Søren