Problems with sub-domain mapping

I have just installed the blog I originally created on wordpress.com onto my own web space but have an issue now the sub-domain is set-up.

Original blog location: https://thegameofgaming.wordpress.com
New blog location: https://blog.metagames.co.uk

The new blog on the sub-domain worked totally fine once installed. I want anyone who visits the original blog (at thegameofgaming.wordpress.com) to be redirected to the same page at the new location because there are a lot of links to my blog articles from other sites.

To accomplish this, I set-up the CNAME for my domain (pointing at thegameofgaming.wordpress.com) and then added sub-domain mapping to my wordpress account. Once set-up, I changed the CNAME back to the original settings so that blog.metagames.co.uk would lead to my webspace and not to wordpress.

If I go to blog.metagames.co.uk, that address is displayed but I’m certain I’m actually looking at the thegameofgaming.wordpress.com site. Also, if I try to access the Dashboard for either, I am sent to the dashboard for thegameofgaming.wordpress.com.

It doesn’t make much difference what settings my DNS records are for blog.metagames.co.uk either. In fact, it all seems a bit backwwards – if the CNAME is set up (pointing at wordpress.com) the blog shows blog.metagames.co.uk in the address bar; if I remove the CNAME (turn it back into the A record which points at my web server) the blog shows thegameofgaming.wordpress.com in the address bar.

1. How do I make blog.metagames.co.uk point at blog.metagames.co.uk?
2. How do I make thegameofgaming.wordpress.com point at blog.metagames.co.uk?

Have I added sub-domain mapping to my account for the wrong reason? Is it only for having a sub-domain point at a blog on wordpress.com?

If the solution is to remove the domain mapping, is there a way for the original blog to redirect people to the new blog?

Thanks for any help you can give. I’m very confused.

Thanks.

James.