AEOLIAN    1,2,b3,4,5,b6,b7,8

LOCHRYIAN (A theoretical mode...not generally found applied to songs in antiquity

          1,b2,b3,4,b5,b6,b7,8

The idea of modes being applicable to folk music is theoretical and speculative. You can't prove or disprove it. Sharp applied it to Anglo-American folk music.

An interesting aspect would be the harmonic progressions

IONIAN    I, IV, V (and more modern...V7)
DORIAN    Im,IV
PHRYGIAN   Im,bII or Im,bVIIm
LYDIAN    I,II
MYXOLYDIAN I,bVII or I,Vm
AEOLIAN    Im,bVII or Im,Vm
LOCHRYAN   Theoretical but you could harmonize it with jazz changes