How to sort table by two columns instead of one

I have a table that I sort ASC by building name. The next column is the corresponding building number for the building. I have a function that will sort the table in ASC order based on the building name. I want to be able to sort by the building name and the building number at the same time. This is a snippet of the table when the page loads. The first <td> which is the building name goes in order. However, the next <td> which is the building number does not go in order.

<tbody class="meterList">
   <tr>
      <td>ACB</td>
      <td>A2095</td>
   </tr>
   <tr>
      <td>ACB</td>
      <td>E1559</td>      
   </tr>
   <tr>
      <td>ACB</td>
      <td>E1540</td>      
   </tr>
   <tr>
      <td>ADH</td>
      <td>A0001</td>      
   </tr>
   <tr>
      <td>ADH</td>
      <td>E1076</td>     
   </tr>
   <tr>
      <td>ADH</td>
      <td>S0001</td>      
   </tr>
   <tr>
      <td>ADH</td>
      <td>E1075</td>      
   </tr>
</tbody>

This is the function I use the sort the table in ASC order by building name.

$('.meterList').find('tr').sort(function(a, b) {
    return $('td:first', a).text().localeCompare($('td:first', b).text());
 }).appendTo($('.meterList'))

I tried doing something like this to sort by both the first and second <td> but this didnt work.

$('.meterList').find('tr').sort(function(a, b) {
    return $('td:first, td:second', a).text().localeCompare($('td:first, td:second', b).text());
 }).appendTo($('.meterList'))

If anyone has any idea how I can sort by two columns any advice would be greatly appreciated!