I'm clueless on this one and I hope someone can alleviate my plight before I break something
I have a php script that is attempting to pass a value to the keyword search box of the site below:

However, the values just don't work and I get transported to this site:

There is javascript code that would appear to interpret the input box search value and code it appropriately. I have tried lots of things but I just cannot seem to pass a simple name like Torbay into the search field so that I can get the necessary results.

If I type Torbay into the search box and hit the enter key, I get what I want. Point is that I want to do it from my own site where I pass the name I'm searching for automatically and I automatically get the search info - I hope all of this is making sense Any asistance would be great. Thanks