Google decides how your website looks in its results. You can't set it, but the words you write on your website guide it.
What Google chooses
Google chooses the title and the short text under it (the snippet) for each result by itself. Google says it builds the title from several places, including the page's title, its main heading and other prominent text, and it may use a different title from the one you wrote. It writes the snippet mainly from the words on the page, and uses the description you wrote only when it judges that description sums up the page better.
The results can also differ from one search to the next, because Google shows the part of your page that best matches what was searched.
What you can write
- Website Title. On the Layout tab, the Website Title is the start of the title of every page. Use your name and what you make, such as "Jane Artist - Oil Paintings of the Prairies". Avoid a bare "Home".
- Image titles and descriptions. Each image page uses its own title and description. Real words about the work help far more than a list of terms. Describing Your Work has ideas.
- Meta Description. On the Advanced page in the Settings menu, the Meta Description box is a short description of your whole website. Write one or two plain sentences that tell a stranger what they will find, such as who you are, what you make and where you are. A list of keywords works against you: Google says descriptions made of keyword strings are less likely to be shown. Select Update Advanced Settings to save.
Google may still show something else. That is its choice, and nothing is wrong with your website when it does.
Meta Keywords
Google says it does not use the keywords tag at all: it "has no effect on indexing and ranking". Leave Meta Keywords empty, or fill it in once and move on. Your time is better spent on the words in the sections above.
Another person's name shows beside yours
Google builds each result from many places on the web, not only from your website. Another person's name next to yours usually comes from other websites that mention you both, or from Google matching your name to someone else. It does not come from your website, and nothing in your website's settings changes it. Clear titles and descriptions that use your own name and what you make give Google better words to use, and results change as Google revisits.
Search in the right place
To look for your website, type its name or address in the browser's address bar or in a search engine such as Google. Your website's own search box searches only inside your website, so it can't tell you whether Google lists you. When Search Engines Show Your Changes covers how long updates take and how to check that your website is listed.