Well you didn't find the NCESC phone number because you didn't search for it the right way.
The NCESC website has a contact section where they list all their phone numbers:
With the recession in full swing, North Carolina's unemployment rate jumped to 7.9 percent in November, the highest the state's seen since 1983. Thousands of folks use www.ncesc.com
and look in their job bank for available positions by occupation or geography.
For more info visit: http://www.ncesc1.com/individual/faqs/contactMain.asp