wp-multiple-form-ajax.php

jQuery(document).ready(function($) {


        jQuery('button.btn').click(function() {
            var submit_value = jQuery(this).attr("value");
            
            var ajax_contact_form = "#ajax-contact-form-"+submit_value;

		jQuery(ajax_contact_form).submit(function(e){
		    var cat_name = jQuery("select#cat_name-"+submit_value+" option:selected").val();    
		    var post_id = jQuery("#post_id-"+submit_value).val();    
		    jQuery.ajax({ 
		         url: catform.ajax_url,         
				 type: 'post',
		         data: {
		         		action:'contact_forms', 
		         		cat_name:cat_name,
		         		post_id:post_id,
		         		security: catform.ajax_nonce
		         },
		         success: function(response) {
		              jQuery('#cat-form-output-'+post_id).html( response ); //should print out the name since you sent it along
		
		        }
		    });
		
		    return false;
		
		});
            
            
            
        });

});