I think the way the teachers' comments were meant to be interpreted was not that all Courtneys are chavs but that chavs/dobbers do tend to favour certain names. There will always be exceptions but very often they do.
If you meet someone with a made up name e.g Honey-Bee or Tyoni then they are likely to be (not certain to be) chavs.
The same goes for traditional names spelt differently e.g Kelsi, Sherri, Clowie. Hyphenated names such as Bobbi-Jo also send out a similar message. Sad but true.
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Old aunts used to come up to me at weddings, poking me in the ribs, cackling and telling me
'You'll be next.' They stopped when I started doing the same to them at funerals.