Firstly, I can't stress enough that it was not me or anyone I know that has made the transfer that you refer to.
Secondly, I rang the go daddy support number on Saturday night and they confirmed categorically that they can't up date the name servers and that wordpress do indeed buy the domain names from them but then wordpress do their own support so godaddy have no access to the account.
This is the second time I have contacted them and they say the same thing, which is wordpress need to update the name servers.
Now whilst I fully appreciate that you are trying to help sort this out, I believe that wordpress bought the domain from godaddy which would explain why I know nothing about godaddy until this problem has arisen and why it is registered as private. Apologies but I dont agree with your most likely scenario.
Basically I have paid for a domain name that I have no access to or can use through no fault of my own. I have used this domain name on all the literature (paper and electronic) to promote my event and now it is useless.
Godaddy gave me an email address of [email redacted] and advised me to send an email there to ask for the name servers to he updated because they absolutely cannot do it. I did this and still dont have a reply 2 days later.
I am being batted back and forth between wordpress and godaddy and quite frankly it is not very fair and incredibly frustrating to keep repeating the same thing for a week now.
Is there somewhere this problem can be escalated to enable it to be sorted once and for all?