If you do not have Firefox Developer edition I would get it as it will give you a lot of information on the layout. It will not always give you the exact info you want but it will put you very close.
It shows the Share and Connect section is in the Flexible footer Col4
If you will look at the image below it shows this section based on what is shown in the FF Dev Edition.

Now in the includes/template/winchester_responsive/common folder you will find the tpl_footer.php file
and in the includes/template/winchester_responsive/templates folder you will find the tpl_flexible_footer_menu.php file
in the tpl_footer.php file
Line 38 - 43 you will find this bit of code referencing the Flexible footer
38 - ```
<!--bof-flexible footer menu display -->
39 - <div id="flex-navSupp">
40 - <div class="onerow-fluid <?php echo $fluidisFixed; ?>">
41 -
42 - <?php require($template->get_template_dir('tpl_flexible_footer_menu.php',DIR_WS_TEMPLATE, $current_page_base,'templates'). '/tpl_flexible_footer_menu.php'); ?>
43 - <br /><br />
and it ends on line #67
<!--eof-flexible footer menu -->
Now in the **tpl_flexible_footer_menu.php** file
I really did not see anything other than information as to what is supposed to be called to populate the footer.
If you do not feel like actually playing with the PHP code structure this is where I would look!
Now you should be able to edit the Flexible footer from the admin page
**Admin/Tools/Flexible Footer Menu**
If I open mine I can see the information below.
The Header **Share and Connect** is on column 4 and sort order is 4
The blank line below is where you are supposed to be able to insert your Social networking data and populate the Icons below **Share and Connect** of course mine did not work like it should so I just created an SQL file and added the information straight into the database.
I would think that this is where you would enter the information you are wanting to add!
Just make sure it is column 4 and make the sort order higher than 41 and if it works correctly it should be placed under the Social Networking Information!
I would try the information between the blue before I went into the Database unless you are very comfortable with it.
Now my SQL statement from my database looks like the following (of course with out all of the personal information)
and if you take the time to line all the information up it might actually begin to make sense!
INSERT INTO flexible_footer_menu (page_id, language_id, page_title, page_url, col_header, col_image, col_html_text, status, col_sort_order, col_id, date_added, last_update) VALUES
(26, 1, '', '', '', '', '<a href="https://www.facebook.com/" target="_blank"><i class="fa fa-facebook"></i></a><a href="https://twitter.com/" target="_blank"><i class="fa fa-twitter"></i></a><a href="https://www.pinterest.com/" target="_blank"><i class="fa fa-pinterest"></i></a><a href="https://www.youtube.com/channel/" target="_blank"><i class="fa fa-youtube"></i></a><a href="https://www.instagram.com//" target="_blank"><i class="fa fa-instagram"></i></a>', 1, 41, 4, '2013-06-24 09:44:30', '2014-04-25 09:26:24');
Do this is Excel and it might make even more sense as you can see below.