Now, in regards to your transfer. As far as I can see from the tickets here, you're trying to transfer a character from one account to another. This is indeed something that is only possible if the names on the two accounts matches.
This is, as my colleague also mentioned, due to the fact that we can't support the sale, trade or transfers of characters between people.
I know that you say it's you that have been paying and playing for the most part on both of the accounts, however if there is two different names on them, it does mean that there is two different owners.
This is not something we can change, as an account is never to change ownership. Once it's created in one persons name, it's theirs for good.