I managed to get this to work using a combination of mattyza and killermaniac’s code.
For the article title immediately following the blog title:
<?php if ( is_single() ) { bloginfo(‘name’) ?> <?php wp_title(“”,true); } else { echo bloginfo(‘name’) ?> <?php bloginfo(‘description’); } ?>
To use other separators in place of ? such as | just place them between the ?> <?php