There was no screenshot attached, but I'm pretty sure I know the bug you're talking about. Right now, if you've already connected your user to all social networks that are enabled, the Connect Account text can still show. That's something that will be fixed in the 6.1.2 release.
If you'd like to fix it before that release, please edit the /components/com_jfbconnect/libraries/widget/login.php file. Around line 156, you'll see the following 2 lines:
$text = empty($text) ? "" : '<div class="pull-left intro">' . $text . '</div>';
$html = '<span class="sourcecoast login"><div class="row-fluid">' . $text . $html . '</div></span>';
Wrap those in an if statement to check if there's actually any buttons to show with the code below:
if(!empty($html))
{
$text = empty($text) ? "" : '<div class="pull-left intro">' . $text . '</div>';
$html = '<span class="sourcecoast login"><div class="row-fluid">' . $text . $html . '</div></span>';
}
To be clear, you're just adding the first 2 and last line around what's already there.
I hope that helps, but if that's not your issue, just let me know.
Thanks,
Alex