To make your website better-known, you need to get some better-known websites to link to your website.
Google and other search engines rely on page rank signals in their algorithms. You can increase your page rank (and likelihood of getting found) by getting higher-page-rank websites (loosely translated as “better-known” websites) to link to your website. It’s really the most effective way, experts say.
What you want is an inbound link to your site from a higher-page-rank site that’s in the same general subject area as you are.
First you need to know the page-rank of your site and any other. You can find free page-rank tools online. Here’s one: http://www.prchecker.info/check_page_rank.php
Don’t be surprised if newer websites have no page-rank. It can take a while.
How do you get an inbound link? Offer to write a blog post for someone. A site that has high page-rank and general respect in its niche may not be that easy to break into, but comment on the blog, be friendly, and then ask. Once you’ve written one, do it again. And again.
Placing blog comments containing your link on respected blogs might work, if they don’t look like spam to the blog owner (who would then delete them). Make a comment using a real, relevant link to a post on your website that would be helpful to the readers.
Here’s another way: get yourself a gig writing a column for a high PR site related to your niche, maybe a news magazine like Christianity Today, and make sure you can put a link back to your website in your bio.
What should that link look like? Here’s a format that Google really rewards: when the text in the link describes what’s in your web page using a relevant word or two (as opposed to just the domain name for example). A link to this post might say: “Check this link for SEO for authors.” Maybe not as effective, but still not bad: “Go to http://www.castlegatepress.com/increase-your-seo-iq-one-key-way-to-making-your-website-more-findable/ .”