Thanks Yigit,

I added that code to my child themes function.php…

add_filter('avf_logo_subtext', 'kriesi_logo_addition');
function kriesi_logo_addition($sub) {
	$sub .= "<strong class='logo-title'>Company Name</strong>";
	return $sub;
}

Then I had to add some CSS to put it in the proper place.

.subtext {
	float:left; 
	position: relative;
}

.logo img {
	float:left;
}

.logo, .logo a {
	overflow: visible;
}

.logo-title{  
	font-size: 20px; 
	color: #000; 
	position: absolute; 
	left:7px; 
	top:5px; 
	white-space: nowrap;	 
} 

Thanks for your help.