Q&A: The Proverbial Woodchuck

Terry Reeves asks: 

"How much wood could a woodchuck chuck if a woodchuck could chuck wood?"

Let's start with the animal first.  A woodchuck is basically a groundhog.  Same as Punxsutawney Phil.  The saying suggests that woodchucks can't chuck wood.  What's chucking?  According to Dictionary.com, to chuck is to throw something, as to "chuck a rock in the pond".  There are other definitions, but this is the only one that applies to wood/trees/logging.  I have searched high and low and can find no reasonable reason why a groundhog would toss wood about.  Julia, my very learned daughter, said that she had watched one of the realtity programs about logging and that they call trimming all of the limbs off of a fallen tree "chucking".  But groundhogs can't operate chainsaws, so that's probably out.

According to Wikipedia, possible answers are:

1. "As much wood as a woodchuck would if a woodchuck could chuck wood."
2. "A woodchuck would chuck as much wood as a woodchuck could chuck, if a woodchuck could chuck wood."
3. "A woodchuck would chuck all the wood, if a woodchuck only could."