I would like the title of my blog to look as you factor while its around the home page, then one else when it's otherwise on my small blog.

Performs this code look right?

<title>
<?php 
if ( is_home() )
   echo "Blog Title" //When on the homepage
else
   echo ucwords(wp_title('',true)); //Name of blog article
   echo ucwords(get_bloginfo('name')); //Followed by site name
?>
</title>

Any feedback is appreciated.

Presuming that the functions will work and locating the right data, that code is perfectly appropriate for what you are utilizing it for.

Just one factor you need to pass false within the wp_title function

echo ucwords(wp_title('',false));

wordpress_title function echo the title when the second argument is passed as true, if it's passed false it'll return the title for more procedures