If you're actually sync'ing to a stratum one server, it'll happily print it out:
anthony@Watt:~$ ntpq -p remote refid st t when poll reach delay offset jitter ============================================================================== -xen1.rack911.co 66.228.59.187 3 u 737 1024 377 81.085 -2.838 1.015 +clock.xmission. .GPS. 1 u 512 1024 377 76.454 -6.912 10.883 +time-c.nist.gov .ACTS. 1 u 169 1024 377 9.470 1.294 29.911 *clock1.alb1.ino .CDMA. 1 u 980 1024 377 29.739 -4.838 11.728
Make sure to restart ntp after modifying its configuration file. I don't even see level1e.cs.unc.edu in your output at all. (BTW: The server list above is from using the NTP Pool, it's not hand-configured.)