Here is the National Weather Service's Archieve of Past Hurricane Seasons.
http://www.nhc.noaa.gov/pastall.shtml
As stated before, hurricane season runs June to November - but it is a bell curve with MOST storms happening between the end of July and the beginning of September.
If you look at the archive there has been a storm that cut across Florida almost every year, not always a hurricane, and DEFINITELY not the strength of Charley.
My sister seems to have the knack of visiting when a storm comes, they were there for Floyd and Hugo (my bother-in-law has some GREAT video). And my niece was there a few days ago for Charley (took her two days to get a flight out - and had to drive to Tampa or she'd still be there).
Actually, a couple of years ago (2 maybe) we were in Florida when a hurricane hit the northeast (where we are from)... I think it was 'Bob'. It was heading RIGHT towards Florida at first - and everyone was warning us - then it turned and headed UP the coast. I believe it made landfall in New Jersey (we're right next door in Pennsylvania).
As it always is with Mother Nature - you don't know WHAT to expect. The past is no bearing on the future. There WILL be hurricanes that hit WDW... But Disney is 60+ miles from the East Coast and 90+ miles from the West coast - a definite 'damping' region.
Having said that - I have visited Disney dozens of times in PEAK hurricane season and would not HESSITATE to do so again.