As a test, I put the first recipient in the message, as follows:
$MailBody = $MailBody . "This message has also been sent to: \r\n";
$MailBody = $MailBody . "". $row_rsMemRecips['RecipName'] ." ";
$MailBody = $MailBody . " <br /></body></html>";
However, no name was listed, which makes me think the query is still wrong and not returning any records.