very touchy onmouseout behaviour

[qtwqwc]

I would like to design something similar to what can be seen on http://www.thedana.com/ by the "Check availability" button - I've used the jquery.js file from w3school.com and got the following so far: http://quaaoutlodge.com/drupal-7.14/ (Book Now tab). Now as you realize, it is very touchy and fades out sometimes when it shouldn't (when the cursor is still in the middle of the field) how can I make this nicer, more user friendly?Thanks!Ron