I was able to do this by doing the following:
Turn off First/Last name and phone (shortcode [easy_sign_up fnln=0 phone=0]
This will show only the Name & Email, however the Name field is still there. You can modify lib/esu-front-end-class.php to remove the field.
Find the following section:
if($fnln == true ) :
unset($options['n']);
else:
unset($options['fn']);
unset($options['ln']);
endif;
Replace with:
if($fnln == true ) :
unset($options['n']);
else:
unset($options['n']); // added to remove name field
unset($options['fn']);
unset($options['ln']);
endif;