I'm sure this has been asked many times, but how do you add a logo to the left of the site title on the Twenty Eleven child theme?
You would have to navigate to the WordPress Twenty Eleven Theme folder in your WordPress installation at the following location:
/wp-content/themes/twentyeleven
Next open up the file called header.php and find the part that says <h1 id="site-title">. Finally, add your logo image before this along with anything else you may want.
Bare in mind you may need to use some CSS, like display: inline; for example to get it to sit on the same line as the text.