Thank you Krishna. I continued troubleshooting after posting this topic and in the end I deleted the original page and created a new one. The problem was arising when I added the word "Library" to the page title. I've left the url the same at http://gatewaygazette.ca/sheepriverlibrary/ but instead of having the page Title as Sheep River Library, I've changed it to SRL and the problem corrected itself. I can't say that it is a proper "fix" but it is a work around and I needed it to be functioning properly right away so it will have to do. But I still find it bizarre that if I leave the word "Library" in the page Title, then the problem as described above continues to happen. It really shouldn't matter what my page Title is, an internal search should still display the results on the normal result page.
It just happened that I only just managed to get it working properly when you went into it and tested it, so you didn't experience the odd result. But thank you for taking the time to check it and respond.
This page is an independant landing page for our local library to set as the home page of the browsers on their public computers, so the Google search box is functioning as it should, this page isn't intended to keep people in the primary site of http://gatewaygazette.ca. **Correction** I was curious by your comment and now see what you mean - grrr - guess I'm not finished with this one yet *sigh* - thank you for bringing this to my attention. **Phew, that was an easy fix - this is now working properly too**