In many cases wart removal is a matter of sincere belief--which is why so many folk remedies have excellent results.
http://www.mothernature.com/Library/Bookshelf/Books/47/137.cfm
One folk recipe that I've had good luck with three different warts on three different kids is:
Cut a new potato in half.
Rub each half on the wart.
Reassemble the potato and bury it. The dark of the moon is supposed to be a good time for this. I believe the Dark of the Moon this month is about 4/16. Staying up past "normal" bedtime seems to add some power to the ceremony.
When the potato rots away, the wart will have vanished.
If the potato sprouts, the wart will vanish and the child will have a piece of good luck.
Firm belief is the key here.