Meanings of possessed a quality in English

But Buck possessed a quality that made for greatness-imagination

They, along with Pulp, possessed a quality absent from so many post-grunge UK groups: an innately English aesthetic.

Shelley possessed a quality of mind which experience has shown me to be of the rarest occurrence among human beings: this was his UNWORLDLINESS.

This cry, however, had possessed a quality which no mere writing could convey, and the correspondent mentions that his mother fainted completely at the sound.