In the FAQ it is stated that:
However, by visiting http://www.ownedcore.com/forums/ocp.php and attempting to change my name I get an error message saying that I don't have enough CoreCoins. I'm assuming that webpage is only intended to name change through the use of CoreCoins. Is there another webpage to claim your free name change that I missed, or is the only way to get a free name change to PM an admin?You are allowed 1 free name change per year on OwnedCore. You can buy more namechanges with corecoins http://www.ownedcore.com/forums/ocp.php this is also where you change your account name.
Thanks!