Firstly, correct your HTML as:
<table class="authors-list">
<tr>
<td>author's first name</td><td>author's last name</td>
</tr>
<tr>
<td>
<input type="text" name="first_name" />
</td>
<td>
<input type="text" name="last_name" />
</td>
</tr>
</table>
<a href="#" title="" class="add-author">Add Author</a>
(I have added indents only for visibility) and do not use inline JavaScript. Plus, be consistent, preferably use "
(double quotes) for HTML attributes, '
(single quotes) for JavaScript strings.
Second, do something like that:
jQuery(function(){
var counter = 1;
jQuery('a.add-author').click(function(event){
event.preventDefault();
var newRow = jQuery('<tr><td><input type="text" name="first_name' +
counter + '"/></td><td><input type="text" name="last_name' +
counter + '"/></td></tr>');
counter++;
jQuery('table.authors-list').append(newRow);
});
});
It will add a row to the table with each click on the link having class add-author
(just to be sure no other link is influented), incrementing number at the end of the name of every inserted field's name by 1. The row will be inserted at the end of the table having class authors-list
(same reason as with class for a link). See this jsfiddle as a proof.