Brent, I’m not running multisite so I don’t know if this will work for you, but it seems to be working for me. This is untested and I can’t guarantee it won’t break something else (but I think it should be safe).
In the plugin file wp-customer-reviews.php (should be somewhere like /wp-content/plugins/wp-customer-reviews/ or wherever multisite puts plugin files ), change line 1199:
@wp_mail(get_bloginfo('admin_email'), "WP Customer Reviews: New Review Posted on " . date('m/d/Y h:i'), "A new review has been posted for " . $this->options['business_name'] . " via WP Customer Reviews. \n\nYou will need to login to the admin area and approve this review before it will appear on your site.\n\n{$admin_link}");
to this:
@wp_mail($this->options['business_email'], "WP Customer Reviews: New Review Posted on " . date('m/d/Y h:i'), "A new review has been posted for " . $this->options['business_name'] . " via WP Customer Reviews. \n\nYou will need to login to the admin area and approve this review before it will appear on your site.\n\n{$admin_link}");
Of course, make a backup of the plugin first, since you’re changing its core code. And remember of course that this will get overwritten if/when the plugin is upgraded.