Google is more complicated in the way it delivers search results I'm afraid. For starters, there are multiple Google data centres. This means that the results you get will depend on where you search from. Also, if you have a Google account, Google will deliver you relevant results based on your previous searches.
So, as such, where you sit in 'your' Google is not as important as you'd imagine as your results will be skewed.
A good way of getting a more rounded overview is to get your design to load Webmaster tools on your website:
https://www.google.com/webmasters/tools/
It's free.
This will show you where you sit in Google for the most searched for phrases (as long as your website is in the top 50). It also shows what people click on.
The key thing to remember is that Google is looking for two key points:
1. Relevance. Does your website have the words on the page that people are searching for. More often than not, they don't.
2. Authority. How many people link to your website with relevant links about what you do. You can check this in Google by typing in the search box:
"links:www.yourdomainname.co.uk"
eg. "links:www.trulyscrumptiousbeauty.co.uk"
please note, you don't need the quotes marks either side.
The more links you have the better.
If you send me a link to your website, I can take a look. Also, I wrote a free book about basic search engine optimisation once if you are interested, I can post the link.
A final point just to complicate things. Google are currently undergoing a massive change to their search engine results with big shift towards "quality". It's known as Google Caffeine:
http://www.telegraph.co.uk/technology/google/6537200/Google-Caffeine-ready-for-roll-out.html