Bother

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late 17th century (as a noun in the dialect sense ‘noise, chatter’): of Anglo-Irish origin; probably related to Irish bodhaire ‘noise’, bodhraim ‘deafen, annoy’. The verb (originally dialect) meant ‘confuse with noise’ in the early 18th century.

wiktionary

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Borrowed from Scots bauther,  bather(“to bother”). Origin unknown. Perhaps related to Scots pother(“to make a stir or commotion, bustle”), also of unknown origin. Compare English pother(“to poke, prod”), variant of  potter(“to poke”). More at  potter. Perhaps related to Irish bodhaire(“noise”), Irish bodhraim(“to deafen, annoy”). [1]

etymonline

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bother (v.)

1718, also bauther, bather, bodder, "to bewilder, confuse;" 1745 as "give trouble to," probably from Anglo-Irish pother, because its earliest use was by Irish writers (Sheridan, Swift, Sterne). Perhaps from Irish bodhairim "I deafen." Related: Bothered; bothering. As a noun from 1803.