I have Lydian examples in my tutorial. No Locrian ones - I have seen assertions that it occurs in Turkish and Azeri folk music but I've never come across an actual example. I don't believe there is any traditional Locrian tune from Europe, and it was never used in acnient or mediaeval chant.

Even Kirkpatrick's tune isn't heptatonic Locrian, it has a gap at the sixth. Nice try but no cigar.