In this world of hundreds of business names, where would be a good web site that could help
Me develop or give a good sample business name that no one is using. Preferably non-cost.
I am a college student and I am trying to stay on a budget.

You need to look no further, because right here is a good website to use! Lot's of minds and experience from which to gain knowledge!

I don't know what the business is that you are talking about. It would be good to know that in order to get more creative in an answer. However, I do think that it's important to have the beginning of the name be something that will be listed first or at least towards the top of the list in directories for businesses, such and the Yellow Pages.

My suggestion for the first word would be something like "Absolute" or "Accurate." Those two would sound more professional than say "AA" or "AAA."