Try this:
<?php
$location = $_POST['location'];
$writenext = $_POST['writenext'];
// prevent scripts
$writenext = htmlentities($writenext);
$file = '/path-to-textfile/'.$location.'.txt';
$current_content = file_get_contents($file)." \n\n";
$combined_content = $current_content.$writenext;
$fh = fopen($file, "w");
fwrite($fh, $combined_content);
fclose($fh);
header('Location: 'send-somewhere.php');
?>
It get the content of the existing file... adds a couple of breaks... and then adds the new content and rewrites the file with the new content added.