Error con tu código ajax en javascript prueba esto
$(documento).listo(función(){
$('#site_name').change(function(){
var arrayID = $(this).val().split(",");
var ownerID = arrayID[0];
var companyID = arrayID[1];
if(ownerID != "" && companyID != ""){
$.ajax({
url:"<?php echo get_stylesheet_directory_uri(); ?>/dropdown_fetch_owner.php",
method:"POST",
data:{ownerID:ownerID},
datatype:"text",
success:function(data){
$('#owner_name').html(data);
}
});
//depend company name on site name
$.ajax({
url:"<?php echo get_stylesheet_directory_uri(); ?>/dropdown_fetch_owner.php",
method:"POST",
data:{companyID:companyID},
datatype:"text",
success:function(data){
$('#Company_name').html(data);
}
});
}
});
});