hey there,
so assuming you're using PHP and the information you want to get @ is inside a MYsql DB you could do it with this process.
1.)Verify user and password then make a query to the DB for this user to retrieve their name.
i.e.
$connect = mysql_connect("$host", "$user", "$pass") or die("No Connection");
mysql_select_db("$db", $connect);
$sql="SELECT * FROM YourTable WHERE username= \'$username\' and password= \'$password\'", $connect) or die ("couldn't select row.");
$row = mysql_query($sql, $connect);
2.)pass the users name to the welcome page via get in your URL
i.e. yourdomainname.com/welcompage?name=$row[name]
This would give you access to the users name on the following page.