This woodpecker is a double cutting axe work song,

1. Well it's early in the morn, in the morn
Baby when I rise, Lordy, mama
Well it's early in the morn a- baby when I rise
Well-a it's early in the mor
in the morn, baby when I rise, lordy mama
well it's early in the morn baby when I rise.

2. The peckerwood's a pecking on the, on the schoolhouse door, sugar
Well the peckerwood a-pecking on the, on the schoolhouse door
Well-a well the peckerwood a-pecking on the schoolhouse door, sugar,
Well he pecks so hard lordy baby, until his pecker got sore well-a
Until his pecker got sore Lord, sugar,
Well he peck so hard lordy, baby until his pecker got sore.

etc, etc, etc. other verses run with

4. "Well-a whosoever told it, that he told a dirty lie
Well the eagle on a dollar, quarter
He gonna rise and fly.

5. Well I ain't been to Georga , but I've been told
well-a women in a-Georga baby got a sweet jelly roll.

Lomax got this I think in the 60's on Parchman prison farm.