From the way it looks, Google has not indexed your site (yet) - when I do a site-only search, it returns nothing. Is it a new site? You don't always need to tell Google to index (read) a site, it indexes anything it finds from links on other sites. So if it's not new, is anyone else linking to it? We know they index PPRuNe, so maybe that will get them to notice!
Have a look at the "Site Owners" section on
this Google page e.g. "submitting your site", where you can tell them about it. If you really want a site boost, you might want to consider buying AdWords off them.
Also, "Katrine Barn" is far more unique than just "Katrine", so I recommend using that on you site more, and every time you mention the site to anyone who might search for or link to it. You can't expect to take over the "web presence" of a personal name for your business. This is why you see big businesses creating new names, and even among very-well established names, McDonald's doesn't seriously expect to own the name "McDonald", does it? Though I wouldn't put it past them...
