okay, lets try using the chrome tools to get a little more info about what exactly is being searched for and what is being returned.
Open your site in chrome and open the developer tools just like you did previously. This time instead of using the network tab select the sources tab. In the top left click on the small little play button and choose the locator.js file as i did in the screenshot below.
[ATTACH=CONFIG]23887[/ATTACH]
Now scroll down in the code and find the line I have highlighted in the screenshot below and add a breakpoint by clicking on the line number on the left.
[ATTACH=CONFIG]23888[/ATTACH]
Now you can search for a park by name as usual and the app will pause at that line of code. Using the scope variables window (shown in my screenshot) you can open the "findparams" and see exactly what parameters are being used for the find task.
Take note of the following...
layerIds, searchfields, searchtext
From there use the info you found to run the exact same find task through your arcgis services directory. Click on the service and then scroll to the bottom of the page to select the find task and enter the search text, layer id, and search fields that you found in chrome.
This will tell you if the variables used in the find task work or if one of them needs to be changed, such as the search field.
Good Luck.
Mark