Trying to get Startlogic to create a CNAME Record

Below is a transcript of today's communication with Startlogic via their live chat facility. I have been trying for almost a week to have them create a new subdomain for me, yet they have failed so far to configure it correctly for me.

Chat Transcript

info: Thank you for contacting support.

We are currently experiencing a network outage at our support location. Please expect a delay in our response as we are currently operating with minimal staffing using our back up lines. The local IT team is working to fix the issue. Please contact us later or continue to hold; we'll be with you as quickly as we can.

We apologize for the inconvenience this may have caused you. Thank you.

info: We appreciate your patience. All operators are currently assisting other customers. Please continue to hold and we'll be with you as quickly as possible.

In the meantime, please be prepared to answer your Security Question when we begin chatting. To enhance our security protocols, we'll need you to provide the answer to your Security Question at the beginning of our conversation. If you have not yet set your Security Question and Answer, please log into your account now to set it up. Thank you for waiting.

--- Repeats 5 times for about 20 minutes ---

info: You are now chatting with 'Melanie Evans'
Melanie Evans: Hi Hayden , I apologize for the wait time. My name is Melanie, how are you today?
Hayden Tennent: hi
Hayden Tennent: I have a query about my domain
Melanie Evans: To protect your account from unauthorized changes, can you please verify for me the answer to the Security Question:
Melanie Evans: [Security Question]
Hayden Tennent: [Security Question Answer]
Melanie Evans: Thank you for the authentication.
Melanie Evans: How can I help you today?
Hayden Tennent: Can you please provide me with the following details regarding all subdomains (CNAME Records) configured. Their names, and where they are configured to point to
Melanie Evans: You have created the CNAME blog and pointed ghs.google.com..
Melanie Evans: The CNAME [Requested Subdomain] is pointed ghs.google.com.
Hayden Tennent: Thanks
Melanie Evans: Is there anything else I can assist you with today?
Hayden Tennent: Yes, the [Requested Subdomain].nztechie.com subdomain dosent work. I have enabled it at my end and it is not working. I have been forced to disable it at my end because it wasnt working.
Melanie Evans: Okay.
Melanie Evans: I will point it again.
Hayden Tennent: If you ping [Requested Subdomain].nztechie.com should it not resolve to ghs.google.com ?? Because it dosent when i try it
Melanie Evans: It is not pointing.
Melanie Evans: I will point it.
Hayden Tennent: Thank you.
Melanie Evans: Is there anything else I can assist you with today?
Hayden Tennent: Could you please make one more CNAME record for me
Hayden Tennent: [Additional Requested CNAME].nztechie.com and point to ghs.google.com also.
Melanie Evans: Okay.
Hayden Tennent: Thank you
Melanie Evans: Is there anything else I can assist you with today?
Hayden Tennent: Are you able to double-check the CNAME setup as I have had a problem before when the CNAME record setup would not "Hold"
Hayden Tennent: perhaps compare the setup with the blog.nztechie.com which is working perfectly.
Melanie Evans: Okay.
Melanie Evans: I have added it.
Melanie Evans: It will work fine with in 1 to 12 hours.

--- Administrative Banter ---

Hayden Tennent: bye