Online etymology brings these two words together:

pother
c.1591, "disturbance, commotion," of unknown origin. Meaning "mental trouble" is from 1641; verb sense of "to fluster" is attested from 1692.
bother
1718, probably from Anglo-Irish pother, since its earliest use was by Irish writers Sheridan, Swift, Sterne. Perhaps from Ir. bodhairim "I deafen." Related: Botheration (1797); bothersome (1834).

Would possibly "bodhairim" and "paturnia" have any connection?