different between exceedingly vs incredibly

English

exceeding +? -ly

exceedingly (not comparable)

To a great or unusual degree, extent, etc.; extremely
- 1865, Henry David Thoreau, Cape Cod, Chapter II. "Stage-coach Views", page 16.
  This coach was an exceedingly narrow one […]

incredible +? -ly

incredibly (comparative more incredibly, superlative most incredibly)

(manner) In an incredible manner; not to be believed.
- 1965, Bruce Mansfield, Australian Democrat: The Career of Edward William O'Sullivan, 1846-1910
  With the parental exaggeration which the birth of his various enterprises always induced, O'Sullivan spoke incredibly of eighty-five "enrolled" members.
(degree) To a great extent; extremely.
Used to note the surprising or hard-to-believe nature of what is being said and suggest that it is nevertheless true.

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