[bushstas]

function onButtonClick(event) {	
	var clickedButton = event.target; 
	var parent = clickedButton.parentNode;
	
	while (parent instanceof Element) {
		if (parent.tagName == 'TABLE') {
			onSuccess(parent);
			break;
		}
		parent = parent.parentNode;	
	}
}

function onSuccess(tableElement) {
	var className = tableElement.className;
	var id = tableElement.id;
	var name = tableElement.getAttribute('name');
	
	alert(className);
	alert(id);
	alert(name);
}

или с помощью JQuery

function onButtonClick(event) {	
       var clickedButton = event.target; 
       var tableElement = $(clickedButton).closest("table")[0];
       onSuccess(tableElement);
}