JSFiddle - React, Tailwind, and code Playground

HTML

<table>
    <tbody id="input_table" >
    <tr id="pq_entry_1" class="clonedSection" data-saved="1">
        <td><input type="text" name="person_id" value='1' readonly /></td>
        <td>
        <input id="person_id_1" name="person_id_1" type="text" value='1'/>
        <input id="person_fname_1" name="person_fname" placeholder=" First Name" type="text" value='James'/>
        </td>
        <td>
        <select id="person_status_1" name="person_status_1"></select>
        </td>
    </tr>
    <tr id="pq_entry_2" class="clonedSection" data-saved="2">
        <td><input type="text" name="person_id" value='2' readonly /></td>
        <td>
        <input id="person_id_2" name="person_id_2" type="text" value='2'/><input id="person_fname_2" name="person_fname" placeholder=" First Name" type="text" value='Cynthia'/>
        </td>
        <td>
        <select id="person_status_2" name="person_status_2"></select>
        </td>
    </tr>
</tbody>
</table>
<input type='button' id='btnAdd' value='add another Person' />
<input type='button' id='btnDel' value='Delete New Field' /></br>
<script type="text/template" id="template">
    <tr id="pq_entry_$1" class="clonedSection">
        <td><input type="text" name="person_id" value="$1" readonly /></td>
        <td>
            <input id="person_id_$1" name="person_id_$1" type="text"/>
            <input id="person_fname_$1" name="person_fname" placeholder="Person #$1 First Name" type="text" />
        </td>
        <td>
            <select id="person_status_$1" name="person_status_$1"></select>
        </td>
    </tr>
</script>

JavaScript

$(document).ready(function () {
    var template       = $('#template' ).html(),
        $input_table   = $( '#input_table' ),
        addedRows      = [],
        num_saved_rows = $('#input_table tr').length;
                     
                     
    $('#btnAdd').click(function () {
        var row = $( template.replace( /\$1/g, num_saved_rows + addedRows.length + 1 ) )
                    .appendTo( $input_table );
        // Not sure what you are doing with the 'select' element but you can
        // dynamically update the attributes of any element like this:
        $( 'select', row ).val( '' );
        addedRows.push( row );
        $('#btnDel').prop('disabled', num_saved_rows + addedRows.length == 100 );
    });

    $('#btnDel').click(function () {
        if ( addedRows.length )
        {
            addedRows.pop().remove();
            $('#btnAdd').prop('disabled', false);
            $('#btnDel').prop('disabled', !addedRows.length);
        }
    });

    $('#btnDel').prop('disabled', 'disabled');
});