Business not showing up in Google search

I see what's happening.  Your listing is https://www.google.com/maps?cid=49804541711990690

The other listing, Claire with an "e", is https://www.google.com/maps?cid=11887250615733916621

Obviously, the two businesses have very similar names.  And when you search for your business, Google just thinks you've mistyped and forgotten the "e"!

This happens because Claire with an "e" is prominent and unambiguous online.  The Google algorithm knows of that business entity and is so confident about the business details, it assumes that's what you're looking for when you search "Clair Butler Photography".

Your job will be to make it clear to Google that "Clair Butler Photography" is a viable business entity and not a typo!

See Improve your local ranking on Google for a little more explanation.  Fill out your GMB listing completely.   Get more reviews.  (Ask your clients.)  Eliminate ambiguity so Google clearly identifies your business.  (E.g. the phone number on your website and your Facebook page don't match. Ambiguity.)  Work to make the business name more prominent online.  (E.g. You don't even use the business name on the business website!)

This is really a matter of Local SEO.  If you read any content on how to improve your Local SEO, be sure to relate the tactics you read about to what Google explains in "Improve your local ranking on Google".