Robert Morein responded to:

A fresh stump doesn't burn very well. A
single big chunk of wood doesn't burn very well.

Doesn't burn very well is not the same as doesn't burn at all. Which is
why I suggested starting with charcoal (I suppose you could even start
with coal.) Granted it might burn slowly but I'm not sure there was a
time constraint from the OP.

We burned a walnut tree stump. First we cut vertical slots down into
the stump with a chain saw so that it had a lot of grooves going down to
near the soil line. Then we started a fire with stove oil and it burned
down into the ground and into the roots. It smoldered for a couple
weeks before we put it out. We never guessed it would work so well. It
was in the fall and the stump was fairly fresh.

Another alternative is to give the stump away. We have people around
here that buy stumps to chop into hardwood mulch for nurserymen. So
perhaps you can find someone who wants the stump.

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Cheers, Steve Henning in Reading, PA USA http://home.earthlink.net/~rhodyman